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Finding the Fourth Proportional to 10,539.57, 14,544.90 and 5,824.16

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Solution

The fourth proportional to 10,539.57, 14,544.90 and 5,824.16 is: 8,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.57 : 14,544.90 = 5,824.16 : x
  2. Step 2: Convert to fraction form
    10,539.57/14,544.90 = 5,824.16/x
  3. Step 3: Cross multiply
    10,539.57x = 14,544.90 × 5,824.16
  4. Step 4: Simplify right side
    10,539.57x = 84,711,752.06
  5. Step 5: Solve for x
    x = 84,711,752.06/10,539.57
  6. Step 6: Final answer
    x = 8,037.50

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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.