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Finding the Fourth Proportional to 10,952.97, 15,109.83 and 7,174.50

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Solution

The fourth proportional to 10,952.97, 15,109.83 and 7,174.50 is: 9,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.97 : 15,109.83 = 7,174.50 : x
  2. Step 2: Convert to fraction form
    10,952.97/15,109.83 = 7,174.50/x
  3. Step 3: Cross multiply
    10,952.97x = 15,109.83 × 7,174.50
  4. Step 4: Simplify right side
    10,952.97x = 108,405,475.34
  5. Step 5: Solve for x
    x = 108,405,475.34/10,952.97
  6. Step 6: Final answer
    x = 9,897.36

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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.