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Finding the Fourth Proportional to 10,613.52, 14,647.40 and 6,138.16

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Solution

The fourth proportional to 10,613.52, 14,647.40 and 6,138.16 is: 8,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.52 : 14,647.40 = 6,138.16 : x
  2. Step 2: Convert to fraction form
    10,613.52/14,647.40 = 6,138.16/x
  3. Step 3: Cross multiply
    10,613.52x = 14,647.40 × 6,138.16
  4. Step 4: Simplify right side
    10,613.52x = 89,908,084.78
  5. Step 5: Solve for x
    x = 89,908,084.78/10,613.52
  6. Step 6: Final answer
    x = 8,471.09

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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.