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Finding the Fourth Proportional to 10,593.12, 15,873.48 and 5,663.46

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Solution

The fourth proportional to 10,593.12, 15,873.48 and 5,663.46 is: 8,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.12 : 15,873.48 = 5,663.46 : x
  2. Step 2: Convert to fraction form
    10,593.12/15,873.48 = 5,663.46/x
  3. Step 3: Cross multiply
    10,593.12x = 15,873.48 × 5,663.46
  4. Step 4: Simplify right side
    10,593.12x = 89,898,819.04
  5. Step 5: Solve for x
    x = 89,898,819.04/10,593.12
  6. Step 6: Final answer
    x = 8,486.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.