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Finding the Fourth Proportional to 8,583.64, 11,836.04 and 7,454.60

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Solution

The fourth proportional to 8,583.64, 11,836.04 and 7,454.60 is: 10,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.64 : 11,836.04 = 7,454.60 : x
  2. Step 2: Convert to fraction form
    8,583.64/11,836.04 = 7,454.60/x
  3. Step 3: Cross multiply
    8,583.64x = 11,836.04 × 7,454.60
  4. Step 4: Simplify right side
    8,583.64x = 88,232,943.78
  5. Step 5: Solve for x
    x = 88,232,943.78/8,583.64
  6. Step 6: Final answer
    x = 10,279.20

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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.