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Finding the Fourth Proportional to 10,710.87, 14,781.96 and 6,174.24

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Solution

The fourth proportional to 10,710.87, 14,781.96 and 6,174.24 is: 8,521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.87 : 14,781.96 = 6,174.24 : x
  2. Step 2: Convert to fraction form
    10,710.87/14,781.96 = 6,174.24/x
  3. Step 3: Cross multiply
    10,710.87x = 14,781.96 × 6,174.24
  4. Step 4: Simplify right side
    10,710.87x = 91,267,368.71
  5. Step 5: Solve for x
    x = 91,267,368.71/10,710.87
  6. Step 6: Final answer
    x = 8,521.00

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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.