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Finding the Fourth Proportional to 8,240.30, 11,371.63 and 4,463.47

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Solution

The fourth proportional to 8,240.30, 11,371.63 and 4,463.47 is: 6,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.30 : 11,371.63 = 4,463.47 : x
  2. Step 2: Convert to fraction form
    8,240.30/11,371.63 = 4,463.47/x
  3. Step 3: Cross multiply
    8,240.30x = 11,371.63 × 4,463.47
  4. Step 4: Simplify right side
    8,240.30x = 50,756,929.36
  5. Step 5: Solve for x
    x = 50,756,929.36/8,240.30
  6. Step 6: Final answer
    x = 6,159.60

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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.