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Finding the Fourth Proportional to 8,649.16, 11,933.63 and 5,290.74

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Solution

The fourth proportional to 8,649.16, 11,933.63 and 5,290.74 is: 7,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.16 : 11,933.63 = 5,290.74 : x
  2. Step 2: Convert to fraction form
    8,649.16/11,933.63 = 5,290.74/x
  3. Step 3: Cross multiply
    8,649.16x = 11,933.63 × 5,290.74
  4. Step 4: Simplify right side
    8,649.16x = 63,137,726.97
  5. Step 5: Solve for x
    x = 63,137,726.97/8,649.16
  6. Step 6: Final answer
    x = 7,299.87

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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.