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Finding the Fourth Proportional to 10,381.78, 15,572.85 and 2,590.62

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Solution

The fourth proportional to 10,381.78, 15,572.85 and 2,590.62 is: 3,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.78 : 15,572.85 = 2,590.62 : x
  2. Step 2: Convert to fraction form
    10,381.78/15,572.85 = 2,590.62/x
  3. Step 3: Cross multiply
    10,381.78x = 15,572.85 × 2,590.62
  4. Step 4: Simplify right side
    10,381.78x = 40,343,336.67
  5. Step 5: Solve for x
    x = 40,343,336.67/10,381.78
  6. Step 6: Final answer
    x = 3,885.97

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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.