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Finding the Fourth Proportional to 8,814.26, 12,160.05 and 5,833.46

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Solution

The fourth proportional to 8,814.26, 12,160.05 and 5,833.46 is: 8,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.26 : 12,160.05 = 5,833.46 : x
  2. Step 2: Convert to fraction form
    8,814.26/12,160.05 = 5,833.46/x
  3. Step 3: Cross multiply
    8,814.26x = 12,160.05 × 5,833.46
  4. Step 4: Simplify right side
    8,814.26x = 70,935,165.27
  5. Step 5: Solve for x
    x = 70,935,165.27/8,814.26
  6. Step 6: Final answer
    x = 8,047.77

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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.