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Finding the Fourth Proportional to 10,006.57, 15,005.58 and 3,433.42

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Solution

The fourth proportional to 10,006.57, 15,005.58 and 3,433.42 is: 5,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.57 : 15,005.58 = 3,433.42 : x
  2. Step 2: Convert to fraction form
    10,006.57/15,005.58 = 3,433.42/x
  3. Step 3: Cross multiply
    10,006.57x = 15,005.58 × 3,433.42
  4. Step 4: Simplify right side
    10,006.57x = 51,520,458.48
  5. Step 5: Solve for x
    x = 51,520,458.48/10,006.57
  6. Step 6: Final answer
    x = 5,148.66

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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.