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Finding the Fourth Proportional to 8,905.60, 12,287.52 and 5,758

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Solution

The fourth proportional to 8,905.60, 12,287.52 and 5,758 is: 7,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.60 : 12,287.52 = 5,758 : x
  2. Step 2: Convert to fraction form
    8,905.60/12,287.52 = 5,758/x
  3. Step 3: Cross multiply
    8,905.60x = 12,287.52 × 5,758
  4. Step 4: Simplify right side
    8,905.60x = 70,751,540.16
  5. Step 5: Solve for x
    x = 70,751,540.16/8,905.60
  6. Step 6: Final answer
    x = 7,944.61

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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.