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Finding the Fourth Proportional to 11,686.42, 16,132.93 and 7,501.78

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Solution

The fourth proportional to 11,686.42, 16,132.93 and 7,501.78 is: 10,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.42 : 16,132.93 = 7,501.78 : x
  2. Step 2: Convert to fraction form
    11,686.42/16,132.93 = 7,501.78/x
  3. Step 3: Cross multiply
    11,686.42x = 16,132.93 × 7,501.78
  4. Step 4: Simplify right side
    11,686.42x = 121,025,691.62
  5. Step 5: Solve for x
    x = 121,025,691.62/11,686.42
  6. Step 6: Final answer
    x = 10,356.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.