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Finding the Fourth Proportional to 7,761.84, 10,710.54 and 4,617.42

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Solution

The fourth proportional to 7,761.84, 10,710.54 and 4,617.42 is: 6,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.84 : 10,710.54 = 4,617.42 : x
  2. Step 2: Convert to fraction form
    7,761.84/10,710.54 = 4,617.42/x
  3. Step 3: Cross multiply
    7,761.84x = 10,710.54 × 4,617.42
  4. Step 4: Simplify right side
    7,761.84x = 49,455,061.61
  5. Step 5: Solve for x
    x = 49,455,061.61/7,761.84
  6. Step 6: Final answer
    x = 6,371.56

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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.