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Finding the Fourth Proportional to 11,549.57, 17,352.09 and 7,397.64

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Solution

The fourth proportional to 11,549.57, 17,352.09 and 7,397.64 is: 11,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.57 : 17,352.09 = 7,397.64 : x
  2. Step 2: Convert to fraction form
    11,549.57/17,352.09 = 7,397.64/x
  3. Step 3: Cross multiply
    11,549.57x = 17,352.09 × 7,397.64
  4. Step 4: Simplify right side
    11,549.57x = 128,364,515.07
  5. Step 5: Solve for x
    x = 128,364,515.07/11,549.57
  6. Step 6: Final answer
    x = 11,114.23

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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.