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Finding the Fourth Proportional to 10,585.20, 14,608.92 and 6,395.76

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Solution

The fourth proportional to 10,585.20, 14,608.92 and 6,395.76 is: 8,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.20 : 14,608.92 = 6,395.76 : x
  2. Step 2: Convert to fraction form
    10,585.20/14,608.92 = 6,395.76/x
  3. Step 3: Cross multiply
    10,585.20x = 14,608.92 × 6,395.76
  4. Step 4: Simplify right side
    10,585.20x = 93,435,146.18
  5. Step 5: Solve for x
    x = 93,435,146.18/10,585.20
  6. Step 6: Final answer
    x = 8,826.96

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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.