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Finding the Fourth Proportional to 10,438.98, 15,658.12 and 3,043.54

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Solution

The fourth proportional to 10,438.98, 15,658.12 and 3,043.54 is: 4,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.98 : 15,658.12 = 3,043.54 : x
  2. Step 2: Convert to fraction form
    10,438.98/15,658.12 = 3,043.54/x
  3. Step 3: Cross multiply
    10,438.98x = 15,658.12 × 3,043.54
  4. Step 4: Simplify right side
    10,438.98x = 47,656,114.54
  5. Step 5: Solve for x
    x = 47,656,114.54/10,438.98
  6. Step 6: Final answer
    x = 4,565.21

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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.