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Finding the Fourth Proportional to 11,237.20, 15,510.42 and 6,523

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Solution

The fourth proportional to 11,237.20, 15,510.42 and 6,523 is: 9,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,237.20 : 15,510.42 = 6,523 : x
  2. Step 2: Convert to fraction form
    11,237.20/15,510.42 = 6,523/x
  3. Step 3: Cross multiply
    11,237.20x = 15,510.42 × 6,523
  4. Step 4: Simplify right side
    11,237.20x = 101,174,469.66
  5. Step 5: Solve for x
    x = 101,174,469.66/11,237.20
  6. Step 6: Final answer
    x = 9,003.53

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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.