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Finding the Fourth Proportional to 10,454.56, 15,678.96 and 7,508.32

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Solution

The fourth proportional to 10,454.56, 15,678.96 and 7,508.32 is: 11,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.56 : 15,678.96 = 7,508.32 : x
  2. Step 2: Convert to fraction form
    10,454.56/15,678.96 = 7,508.32/x
  3. Step 3: Cross multiply
    10,454.56x = 15,678.96 × 7,508.32
  4. Step 4: Simplify right side
    10,454.56x = 117,722,648.95
  5. Step 5: Solve for x
    x = 117,722,648.95/10,454.56
  6. Step 6: Final answer
    x = 11,260.41

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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.