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Finding the Fourth Proportional to 10,454.58, 14,432.92 and 8,059.32

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Solution

The fourth proportional to 10,454.58, 14,432.92 and 8,059.32 is: 11,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.58 : 14,432.92 = 8,059.32 : x
  2. Step 2: Convert to fraction form
    10,454.58/14,432.92 = 8,059.32/x
  3. Step 3: Cross multiply
    10,454.58x = 14,432.92 × 8,059.32
  4. Step 4: Simplify right side
    10,454.58x = 116,319,500.67
  5. Step 5: Solve for x
    x = 116,319,500.67/10,454.58
  6. Step 6: Final answer
    x = 11,126.18

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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.