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Finding the Fourth Proportional to 8,215.83, 11,332.31 and 6,534.27

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Solution

The fourth proportional to 8,215.83, 11,332.31 and 6,534.27 is: 9,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.83 : 11,332.31 = 6,534.27 : x
  2. Step 2: Convert to fraction form
    8,215.83/11,332.31 = 6,534.27/x
  3. Step 3: Cross multiply
    8,215.83x = 11,332.31 × 6,534.27
  4. Step 4: Simplify right side
    8,215.83x = 74,048,340.59
  5. Step 5: Solve for x
    x = 74,048,340.59/8,215.83
  6. Step 6: Final answer
    x = 9,012.89

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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.