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Finding the Fourth Proportional to 10,663.47, 15,997.41 and 3,642.93

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Solution

The fourth proportional to 10,663.47, 15,997.41 and 3,642.93 is: 5,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.47 : 15,997.41 = 3,642.93 : x
  2. Step 2: Convert to fraction form
    10,663.47/15,997.41 = 3,642.93/x
  3. Step 3: Cross multiply
    10,663.47x = 15,997.41 × 3,642.93
  4. Step 4: Simplify right side
    10,663.47x = 58,277,444.81
  5. Step 5: Solve for x
    x = 58,277,444.81/10,663.47
  6. Step 6: Final answer
    x = 5,465.15

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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.