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Finding the Fourth Proportional to 10,616.32, 15,925.76 and 4,459.52

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Solution

The fourth proportional to 10,616.32, 15,925.76 and 4,459.52 is: 6,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.32 : 15,925.76 = 4,459.52 : x
  2. Step 2: Convert to fraction form
    10,616.32/15,925.76 = 4,459.52/x
  3. Step 3: Cross multiply
    10,616.32x = 15,925.76 × 4,459.52
  4. Step 4: Simplify right side
    10,616.32x = 71,021,245.24
  5. Step 5: Solve for x
    x = 71,021,245.24/10,616.32
  6. Step 6: Final answer
    x = 6,689.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.