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Finding the Fourth Proportional to 12,837.60, 17,708.64 and 7,531.28

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Solution

The fourth proportional to 12,837.60, 17,708.64 and 7,531.28 is: 10,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.60 : 17,708.64 = 7,531.28 : x
  2. Step 2: Convert to fraction form
    12,837.60/17,708.64 = 7,531.28/x
  3. Step 3: Cross multiply
    12,837.60x = 17,708.64 × 7,531.28
  4. Step 4: Simplify right side
    12,837.60x = 133,368,726.26
  5. Step 5: Solve for x
    x = 133,368,726.26/12,837.60
  6. Step 6: Final answer
    x = 10,388.91

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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.