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Finding the Fourth Proportional to 8,367.52, 11,541.13 and 7,106.59

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Solution

The fourth proportional to 8,367.52, 11,541.13 and 7,106.59 is: 9,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.52 : 11,541.13 = 7,106.59 : x
  2. Step 2: Convert to fraction form
    8,367.52/11,541.13 = 7,106.59/x
  3. Step 3: Cross multiply
    8,367.52x = 11,541.13 × 7,106.59
  4. Step 4: Simplify right side
    8,367.52x = 82,018,079.05
  5. Step 5: Solve for x
    x = 82,018,079.05/8,367.52
  6. Step 6: Final answer
    x = 9,801.96

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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.