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Finding the Fourth Proportional to 10,503.24, 15,745.80 and 4,952.70

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Solution

The fourth proportional to 10,503.24, 15,745.80 and 4,952.70 is: 7,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.24 : 15,745.80 = 4,952.70 : x
  2. Step 2: Convert to fraction form
    10,503.24/15,745.80 = 4,952.70/x
  3. Step 3: Cross multiply
    10,503.24x = 15,745.80 × 4,952.70
  4. Step 4: Simplify right side
    10,503.24x = 77,984,223.66
  5. Step 5: Solve for x
    x = 77,984,223.66/10,503.24
  6. Step 6: Final answer
    x = 7,424.78

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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.