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Finding the Fourth Proportional to 11,564.31, 17,314.11 and 7,393.83

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Solution

The fourth proportional to 11,564.31, 17,314.11 and 7,393.83 is: 11,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.31 : 17,314.11 = 7,393.83 : x
  2. Step 2: Convert to fraction form
    11,564.31/17,314.11 = 7,393.83/x
  3. Step 3: Cross multiply
    11,564.31x = 17,314.11 × 7,393.83
  4. Step 4: Simplify right side
    11,564.31x = 128,017,585.94
  5. Step 5: Solve for x
    x = 128,017,585.94/11,564.31
  6. Step 6: Final answer
    x = 11,070.06

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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.