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Finding the Fourth Proportional to 7,294.52, 10,066.56 and 4,151

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Solution

The fourth proportional to 7,294.52, 10,066.56 and 4,151 is: 5,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.52 : 10,066.56 = 4,151 : x
  2. Step 2: Convert to fraction form
    7,294.52/10,066.56 = 4,151/x
  3. Step 3: Cross multiply
    7,294.52x = 10,066.56 × 4,151
  4. Step 4: Simplify right side
    7,294.52x = 41,786,290.56
  5. Step 5: Solve for x
    x = 41,786,290.56/7,294.52
  6. Step 6: Final answer
    x = 5,728.45

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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.