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Finding the Fourth Proportional to 7,294.89, 10,066.86 and 4,151.07

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Solution

The fourth proportional to 7,294.89, 10,066.86 and 4,151.07 is: 5,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.89 : 10,066.86 = 4,151.07 : x
  2. Step 2: Convert to fraction form
    7,294.89/10,066.86 = 4,151.07/x
  3. Step 3: Cross multiply
    7,294.89x = 10,066.86 × 4,151.07
  4. Step 4: Simplify right side
    7,294.89x = 41,788,240.54
  5. Step 5: Solve for x
    x = 41,788,240.54/7,294.89
  6. Step 6: Final answer
    x = 5,728.43

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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.