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Finding the Fourth Proportional to 10,376.72, 15,565 and 2,585.48

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Solution

The fourth proportional to 10,376.72, 15,565 and 2,585.48 is: 3,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.72 : 15,565 = 2,585.48 : x
  2. Step 2: Convert to fraction form
    10,376.72/15,565 = 2,585.48/x
  3. Step 3: Cross multiply
    10,376.72x = 15,565 × 2,585.48
  4. Step 4: Simplify right side
    10,376.72x = 40,242,996.20
  5. Step 5: Solve for x
    x = 40,242,996.20/10,376.72
  6. Step 6: Final answer
    x = 3,878.20

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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.