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Finding the Fourth Proportional to 10,174.66, 14,042.45 and 7,351.17

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Solution

The fourth proportional to 10,174.66, 14,042.45 and 7,351.17 is: 10,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.66 : 14,042.45 = 7,351.17 : x
  2. Step 2: Convert to fraction form
    10,174.66/14,042.45 = 7,351.17/x
  3. Step 3: Cross multiply
    10,174.66x = 14,042.45 × 7,351.17
  4. Step 4: Simplify right side
    10,174.66x = 103,228,437.17
  5. Step 5: Solve for x
    x = 103,228,437.17/10,174.66
  6. Step 6: Final answer
    x = 10,145.64

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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.