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Finding the Fourth Proportional to 10,443.60, 14,411.16 and 6,251.76

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Solution

The fourth proportional to 10,443.60, 14,411.16 and 6,251.76 is: 8,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.60 : 14,411.16 = 6,251.76 : x
  2. Step 2: Convert to fraction form
    10,443.60/14,411.16 = 6,251.76/x
  3. Step 3: Cross multiply
    10,443.60x = 14,411.16 × 6,251.76
  4. Step 4: Simplify right side
    10,443.60x = 90,095,113.64
  5. Step 5: Solve for x
    x = 90,095,113.64/10,443.60
  6. Step 6: Final answer
    x = 8,626.83

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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.