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Finding the Fourth Proportional to 7,148.06, 10,710.24 and 5,057.71

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Solution

The fourth proportional to 7,148.06, 10,710.24 and 5,057.71 is: 7,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.06 : 10,710.24 = 5,057.71 : x
  2. Step 2: Convert to fraction form
    7,148.06/10,710.24 = 5,057.71/x
  3. Step 3: Cross multiply
    7,148.06x = 10,710.24 × 5,057.71
  4. Step 4: Simplify right side
    7,148.06x = 54,169,270.66
  5. Step 5: Solve for x
    x = 54,169,270.66/7,148.06
  6. Step 6: Final answer
    x = 7,578.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.