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Finding the Fourth Proportional to 10,055.64, 13,871.16 and 6,414.87

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Solution

The fourth proportional to 10,055.64, 13,871.16 and 6,414.87 is: 8,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.64 : 13,871.16 = 6,414.87 : x
  2. Step 2: Convert to fraction form
    10,055.64/13,871.16 = 6,414.87/x
  3. Step 3: Cross multiply
    10,055.64x = 13,871.16 × 6,414.87
  4. Step 4: Simplify right side
    10,055.64x = 88,981,688.15
  5. Step 5: Solve for x
    x = 88,981,688.15/10,055.64
  6. Step 6: Final answer
    x = 8,848.93

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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.