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Finding the Fourth Proportional to 10,552.47, 15,832.31 and 3,980.53

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Solution

The fourth proportional to 10,552.47, 15,832.31 and 3,980.53 is: 5,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.47 : 15,832.31 = 3,980.53 : x
  2. Step 2: Convert to fraction form
    10,552.47/15,832.31 = 3,980.53/x
  3. Step 3: Cross multiply
    10,552.47x = 15,832.31 × 3,980.53
  4. Step 4: Simplify right side
    10,552.47x = 63,020,984.92
  5. Step 5: Solve for x
    x = 63,020,984.92/10,552.47
  6. Step 6: Final answer
    x = 5,972.15

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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.