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Finding the Fourth Proportional to 12,410.56, 17,119.71 and 7,864.90

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Solution

The fourth proportional to 12,410.56, 17,119.71 and 7,864.90 is: 10,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.56 : 17,119.71 = 7,864.90 : x
  2. Step 2: Convert to fraction form
    12,410.56/17,119.71 = 7,864.90/x
  3. Step 3: Cross multiply
    12,410.56x = 17,119.71 × 7,864.90
  4. Step 4: Simplify right side
    12,410.56x = 134,644,807.18
  5. Step 5: Solve for x
    x = 134,644,807.18/12,410.56
  6. Step 6: Final answer
    x = 10,849.21

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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.