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Finding the Fourth Proportional to 8,445.16, 12,667.74 and 5,114.24

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Solution

The fourth proportional to 8,445.16, 12,667.74 and 5,114.24 is: 7,671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445.16 : 12,667.74 = 5,114.24 : x
  2. Step 2: Convert to fraction form
    8,445.16/12,667.74 = 5,114.24/x
  3. Step 3: Cross multiply
    8,445.16x = 12,667.74 × 5,114.24
  4. Step 4: Simplify right side
    8,445.16x = 64,785,862.62
  5. Step 5: Solve for x
    x = 64,785,862.62/8,445.16
  6. Step 6: Final answer
    x = 7,671.36

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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.