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Finding the Fourth Proportional to 8,464.96, 12,702.24 and 4,569.28

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Solution

The fourth proportional to 8,464.96, 12,702.24 and 4,569.28 is: 6,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.96 : 12,702.24 = 4,569.28 : x
  2. Step 2: Convert to fraction form
    8,464.96/12,702.24 = 4,569.28/x
  3. Step 3: Cross multiply
    8,464.96x = 12,702.24 × 4,569.28
  4. Step 4: Simplify right side
    8,464.96x = 58,040,091.19
  5. Step 5: Solve for x
    x = 58,040,091.19/8,464.96
  6. Step 6: Final answer
    x = 6,856.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.