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Finding the Fourth Proportional to 10,380.67, 15,561.42 and 4,139.17

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Solution

The fourth proportional to 10,380.67, 15,561.42 and 4,139.17 is: 6,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.67 : 15,561.42 = 4,139.17 : x
  2. Step 2: Convert to fraction form
    10,380.67/15,561.42 = 4,139.17/x
  3. Step 3: Cross multiply
    10,380.67x = 15,561.42 × 4,139.17
  4. Step 4: Simplify right side
    10,380.67x = 64,411,362.82
  5. Step 5: Solve for x
    x = 64,411,362.82/10,380.67
  6. Step 6: Final answer
    x = 6,204.93

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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.