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Finding the Fourth Proportional to 8,357.06, 11,532.24 and 4,579.47

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Solution

The fourth proportional to 8,357.06, 11,532.24 and 4,579.47 is: 6,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.06 : 11,532.24 = 4,579.47 : x
  2. Step 2: Convert to fraction form
    8,357.06/11,532.24 = 4,579.47/x
  3. Step 3: Cross multiply
    8,357.06x = 11,532.24 × 4,579.47
  4. Step 4: Simplify right side
    8,357.06x = 52,811,547.11
  5. Step 5: Solve for x
    x = 52,811,547.11/8,357.06
  6. Step 6: Final answer
    x = 6,319.39

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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.