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Finding the Fourth Proportional to 7,534.72, 10,394.22 and 6,538.60

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Solution

The fourth proportional to 7,534.72, 10,394.22 and 6,538.60 is: 9,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.72 : 10,394.22 = 6,538.60 : x
  2. Step 2: Convert to fraction form
    7,534.72/10,394.22 = 6,538.60/x
  3. Step 3: Cross multiply
    7,534.72x = 10,394.22 × 6,538.60
  4. Step 4: Simplify right side
    7,534.72x = 67,963,646.89
  5. Step 5: Solve for x
    x = 67,963,646.89/7,534.72
  6. Step 6: Final answer
    x = 9,020.06

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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.