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Finding the Fourth Proportional to 10,384.72, 15,577 and 2,593.48

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Solution

The fourth proportional to 10,384.72, 15,577 and 2,593.48 is: 3,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.72 : 15,577 = 2,593.48 : x
  2. Step 2: Convert to fraction form
    10,384.72/15,577 = 2,593.48/x
  3. Step 3: Cross multiply
    10,384.72x = 15,577 × 2,593.48
  4. Step 4: Simplify right side
    10,384.72x = 40,398,637.96
  5. Step 5: Solve for x
    x = 40,398,637.96/10,384.72
  6. Step 6: Final answer
    x = 3,890.20

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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.