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Finding the Fourth Proportional to 8,278.09, 11,417.65 and 6,006.20

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Solution

The fourth proportional to 8,278.09, 11,417.65 and 6,006.20 is: 8,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.09 : 11,417.65 = 6,006.20 : x
  2. Step 2: Convert to fraction form
    8,278.09/11,417.65 = 6,006.20/x
  3. Step 3: Cross multiply
    8,278.09x = 11,417.65 × 6,006.20
  4. Step 4: Simplify right side
    8,278.09x = 68,576,617.33
  5. Step 5: Solve for x
    x = 68,576,617.33/8,278.09
  6. Step 6: Final answer
    x = 8,284.11

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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.