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Finding the Fourth Proportional to 8,468.64, 12,702.98 and 4,580.64

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Solution

The fourth proportional to 8,468.64, 12,702.98 and 4,580.64 is: 6,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.64 : 12,702.98 = 4,580.64 : x
  2. Step 2: Convert to fraction form
    8,468.64/12,702.98 = 4,580.64/x
  3. Step 3: Cross multiply
    8,468.64x = 12,702.98 × 4,580.64
  4. Step 4: Simplify right side
    8,468.64x = 58,187,778.31
  5. Step 5: Solve for x
    x = 58,187,778.31/8,468.64
  6. Step 6: Final answer
    x = 6,870.97

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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.