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Finding the Fourth Proportional to 10,503.31, 14,494.57 and 5,787.70

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Solution

The fourth proportional to 10,503.31, 14,494.57 and 5,787.70 is: 7,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.31 : 14,494.57 = 5,787.70 : x
  2. Step 2: Convert to fraction form
    10,503.31/14,494.57 = 5,787.70/x
  3. Step 3: Cross multiply
    10,503.31x = 14,494.57 × 5,787.70
  4. Step 4: Simplify right side
    10,503.31x = 83,890,222.79
  5. Step 5: Solve for x
    x = 83,890,222.79/10,503.31
  6. Step 6: Final answer
    x = 7,987.03

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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.