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Finding the Fourth Proportional to 8,308.64, 12,472.08 and 4,147.48

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Solution

The fourth proportional to 8,308.64, 12,472.08 and 4,147.48 is: 6,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.64 : 12,472.08 = 4,147.48 : x
  2. Step 2: Convert to fraction form
    8,308.64/12,472.08 = 4,147.48/x
  3. Step 3: Cross multiply
    8,308.64x = 12,472.08 × 4,147.48
  4. Step 4: Simplify right side
    8,308.64x = 51,727,702.36
  5. Step 5: Solve for x
    x = 51,727,702.36/8,308.64
  6. Step 6: Final answer
    x = 6,225.77

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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.