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Finding the Fourth Proportional to 8,640, 12,888.18 and 8,497.31

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Solution

The fourth proportional to 8,640, 12,888.18 and 8,497.31 is: 12,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640 : 12,888.18 = 8,497.31 : x
  2. Step 2: Convert to fraction form
    8,640/12,888.18 = 8,497.31/x
  3. Step 3: Cross multiply
    8,640x = 12,888.18 × 8,497.31
  4. Step 4: Simplify right side
    8,640x = 109,514,796.35
  5. Step 5: Solve for x
    x = 109,514,796.35/8,640
  6. Step 6: Final answer
    x = 12,675.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.