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Finding the Fourth Proportional to 8,377.64, 11,563.80 and 5,724.08

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Solution

The fourth proportional to 8,377.64, 11,563.80 and 5,724.08 is: 7,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.64 : 11,563.80 = 5,724.08 : x
  2. Step 2: Convert to fraction form
    8,377.64/11,563.80 = 5,724.08/x
  3. Step 3: Cross multiply
    8,377.64x = 11,563.80 × 5,724.08
  4. Step 4: Simplify right side
    8,377.64x = 66,192,116.30
  5. Step 5: Solve for x
    x = 66,192,116.30/8,377.64
  6. Step 6: Final answer
    x = 7,901.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.