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Finding the Fourth Proportional to 8,541.60, 11,785.20 and 7,947.01

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Solution

The fourth proportional to 8,541.60, 11,785.20 and 7,947.01 is: 10,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.60 : 11,785.20 = 7,947.01 : x
  2. Step 2: Convert to fraction form
    8,541.60/11,785.20 = 7,947.01/x
  3. Step 3: Cross multiply
    8,541.60x = 11,785.20 × 7,947.01
  4. Step 4: Simplify right side
    8,541.60x = 93,657,087.18
  5. Step 5: Solve for x
    x = 93,657,087.18/8,541.60
  6. Step 6: Final answer
    x = 10,964.82

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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.