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Finding the Fourth Proportional to 10,139.11, 13,972.04 and 7,751.78

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Solution

The fourth proportional to 10,139.11, 13,972.04 and 7,751.78 is: 10,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.11 : 13,972.04 = 7,751.78 : x
  2. Step 2: Convert to fraction form
    10,139.11/13,972.04 = 7,751.78/x
  3. Step 3: Cross multiply
    10,139.11x = 13,972.04 × 7,751.78
  4. Step 4: Simplify right side
    10,139.11x = 108,308,141.47
  5. Step 5: Solve for x
    x = 108,308,141.47/10,139.11
  6. Step 6: Final answer
    x = 10,682.21

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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.