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Finding the Fourth Proportional to 8,532.84, 11,776.54 and 8,159.23

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Solution

The fourth proportional to 8,532.84, 11,776.54 and 8,159.23 is: 11,260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.84 : 11,776.54 = 8,159.23 : x
  2. Step 2: Convert to fraction form
    8,532.84/11,776.54 = 8,159.23/x
  3. Step 3: Cross multiply
    8,532.84x = 11,776.54 × 8,159.23
  4. Step 4: Simplify right side
    8,532.84x = 96,087,508.09
  5. Step 5: Solve for x
    x = 96,087,508.09/8,532.84
  6. Step 6: Final answer
    x = 11,260.90

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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.