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Finding the Fourth Proportional to 10,232.98, 15,348.84 and 3,658.84

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Solution

The fourth proportional to 10,232.98, 15,348.84 and 3,658.84 is: 5,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.98 : 15,348.84 = 3,658.84 : x
  2. Step 2: Convert to fraction form
    10,232.98/15,348.84 = 3,658.84/x
  3. Step 3: Cross multiply
    10,232.98x = 15,348.84 × 3,658.84
  4. Step 4: Simplify right side
    10,232.98x = 56,158,949.75
  5. Step 5: Solve for x
    x = 56,158,949.75/10,232.98
  6. Step 6: Final answer
    x = 5,488.03

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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.