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Finding the Fourth Proportional to 8,678.48, 11,963.40 and 6,812.24

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Solution

The fourth proportional to 8,678.48, 11,963.40 and 6,812.24 is: 9,390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.48 : 11,963.40 = 6,812.24 : x
  2. Step 2: Convert to fraction form
    8,678.48/11,963.40 = 6,812.24/x
  3. Step 3: Cross multiply
    8,678.48x = 11,963.40 × 6,812.24
  4. Step 4: Simplify right side
    8,678.48x = 81,497,552.02
  5. Step 5: Solve for x
    x = 81,497,552.02/8,678.48
  6. Step 6: Final answer
    x = 9,390.76

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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.