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Finding the Fourth Proportional to 11,097.52, 15,314.04 and 6,380.72

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Solution

The fourth proportional to 11,097.52, 15,314.04 and 6,380.72 is: 8,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.52 : 15,314.04 = 6,380.72 : x
  2. Step 2: Convert to fraction form
    11,097.52/15,314.04 = 6,380.72/x
  3. Step 3: Cross multiply
    11,097.52x = 15,314.04 × 6,380.72
  4. Step 4: Simplify right side
    11,097.52x = 97,714,601.31
  5. Step 5: Solve for x
    x = 97,714,601.31/11,097.52
  6. Step 6: Final answer
    x = 8,805.08

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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.