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Finding the Fourth Proportional to 8,458.68, 12,688.02 and 2,912.16

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Solution

The fourth proportional to 8,458.68, 12,688.02 and 2,912.16 is: 4,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458.68 : 12,688.02 = 2,912.16 : x
  2. Step 2: Convert to fraction form
    8,458.68/12,688.02 = 2,912.16/x
  3. Step 3: Cross multiply
    8,458.68x = 12,688.02 × 2,912.16
  4. Step 4: Simplify right side
    8,458.68x = 36,949,544.32
  5. Step 5: Solve for x
    x = 36,949,544.32/8,458.68
  6. Step 6: Final answer
    x = 4,368.24

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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.