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Finding the Fourth Proportional to 10,503.14, 14,494.27 and 5,787.42

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Solution

The fourth proportional to 10,503.14, 14,494.27 and 5,787.42 is: 7,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.14 : 14,494.27 = 5,787.42 : x
  2. Step 2: Convert to fraction form
    10,503.14/14,494.27 = 5,787.42/x
  3. Step 3: Cross multiply
    10,503.14x = 14,494.27 × 5,787.42
  4. Step 4: Simplify right side
    10,503.14x = 83,884,476.13
  5. Step 5: Solve for x
    x = 83,884,476.13/10,503.14
  6. Step 6: Final answer
    x = 7,986.61

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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.