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Finding the Fourth Proportional to 10,447.15, 15,674.82 and 4,599.66

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Solution

The fourth proportional to 10,447.15, 15,674.82 and 4,599.66 is: 6,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.15 : 15,674.82 = 4,599.66 : x
  2. Step 2: Convert to fraction form
    10,447.15/15,674.82 = 4,599.66/x
  3. Step 3: Cross multiply
    10,447.15x = 15,674.82 × 4,599.66
  4. Step 4: Simplify right side
    10,447.15x = 72,098,842.56
  5. Step 5: Solve for x
    x = 72,098,842.56/10,447.15
  6. Step 6: Final answer
    x = 6,901.29

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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.