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Finding the Fourth Proportional to 10,525.47, 14,524.85 and 5,745.55

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Solution

The fourth proportional to 10,525.47, 14,524.85 and 5,745.55 is: 7,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.47 : 14,524.85 = 5,745.55 : x
  2. Step 2: Convert to fraction form
    10,525.47/14,524.85 = 5,745.55/x
  3. Step 3: Cross multiply
    10,525.47x = 14,524.85 × 5,745.55
  4. Step 4: Simplify right side
    10,525.47x = 83,453,251.92
  5. Step 5: Solve for x
    x = 83,453,251.92/10,525.47
  6. Step 6: Final answer
    x = 7,928.70

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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.