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Finding the Fourth Proportional to 7,657.52, 11,538.38 and 6,301.28

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Solution

The fourth proportional to 7,657.52, 11,538.38 and 6,301.28 is: 9,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.52 : 11,538.38 = 6,301.28 : x
  2. Step 2: Convert to fraction form
    7,657.52/11,538.38 = 6,301.28/x
  3. Step 3: Cross multiply
    7,657.52x = 11,538.38 × 6,301.28
  4. Step 4: Simplify right side
    7,657.52x = 72,706,473.93
  5. Step 5: Solve for x
    x = 72,706,473.93/7,657.52
  6. Step 6: Final answer
    x = 9,494.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.