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Finding the Fourth Proportional to 8,532.96, 11,746.44 and 7,398.24

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Solution

The fourth proportional to 8,532.96, 11,746.44 and 7,398.24 is: 10,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.96 : 11,746.44 = 7,398.24 : x
  2. Step 2: Convert to fraction form
    8,532.96/11,746.44 = 7,398.24/x
  3. Step 3: Cross multiply
    8,532.96x = 11,746.44 × 7,398.24
  4. Step 4: Simplify right side
    8,532.96x = 86,902,982.27
  5. Step 5: Solve for x
    x = 86,902,982.27/8,532.96
  6. Step 6: Final answer
    x = 10,184.39

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.