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Finding the Fourth Proportional to 8,295.78, 11,448.84 and 4,760.13

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Solution

The fourth proportional to 8,295.78, 11,448.84 and 4,760.13 is: 6,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.78 : 11,448.84 = 4,760.13 : x
  2. Step 2: Convert to fraction form
    8,295.78/11,448.84 = 4,760.13/x
  3. Step 3: Cross multiply
    8,295.78x = 11,448.84 × 4,760.13
  4. Step 4: Simplify right side
    8,295.78x = 54,497,966.75
  5. Step 5: Solve for x
    x = 54,497,966.75/8,295.78
  6. Step 6: Final answer
    x = 6,569.36

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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.