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Finding the Fourth Proportional to 10,616.56, 14,652.72 and 6,139.60

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Solution

The fourth proportional to 10,616.56, 14,652.72 and 6,139.60 is: 8,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.56 : 14,652.72 = 6,139.60 : x
  2. Step 2: Convert to fraction form
    10,616.56/14,652.72 = 6,139.60/x
  3. Step 3: Cross multiply
    10,616.56x = 14,652.72 × 6,139.60
  4. Step 4: Simplify right side
    10,616.56x = 89,961,839.71
  5. Step 5: Solve for x
    x = 89,961,839.71/10,616.56
  6. Step 6: Final answer
    x = 8,473.73

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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.