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Finding the Fourth Proportional to 10,592.85, 14,616.48 and 6,115.74

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Solution

The fourth proportional to 10,592.85, 14,616.48 and 6,115.74 is: 8,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.85 : 14,616.48 = 6,115.74 : x
  2. Step 2: Convert to fraction form
    10,592.85/14,616.48 = 6,115.74/x
  3. Step 3: Cross multiply
    10,592.85x = 14,616.48 × 6,115.74
  4. Step 4: Simplify right side
    10,592.85x = 89,390,591.40
  5. Step 5: Solve for x
    x = 89,390,591.40/10,592.85
  6. Step 6: Final answer
    x = 8,438.77

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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.