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Finding the Fourth Proportional to 10,617.49, 15,927.32 and 4,380.13

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Solution

The fourth proportional to 10,617.49, 15,927.32 and 4,380.13 is: 6,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.49 : 15,927.32 = 4,380.13 : x
  2. Step 2: Convert to fraction form
    10,617.49/15,927.32 = 4,380.13/x
  3. Step 3: Cross multiply
    10,617.49x = 15,927.32 × 4,380.13
  4. Step 4: Simplify right side
    10,617.49x = 69,763,732.15
  5. Step 5: Solve for x
    x = 69,763,732.15/10,617.49
  6. Step 6: Final answer
    x = 6,570.64

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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.