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Finding the Fourth Proportional to 11,702.76, 16,149.36 and 6,397.65

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Solution

The fourth proportional to 11,702.76, 16,149.36 and 6,397.65 is: 8,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.76 : 16,149.36 = 6,397.65 : x
  2. Step 2: Convert to fraction form
    11,702.76/16,149.36 = 6,397.65/x
  3. Step 3: Cross multiply
    11,702.76x = 16,149.36 × 6,397.65
  4. Step 4: Simplify right side
    11,702.76x = 103,317,953.00
  5. Step 5: Solve for x
    x = 103,317,953.00/11,702.76
  6. Step 6: Final answer
    x = 8,828.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.