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Finding the Fourth Proportional to 8,417.22, 11,615.76 and 4,882.47

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Solution

The fourth proportional to 8,417.22, 11,615.76 and 4,882.47 is: 6,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.22 : 11,615.76 = 4,882.47 : x
  2. Step 2: Convert to fraction form
    8,417.22/11,615.76 = 4,882.47/x
  3. Step 3: Cross multiply
    8,417.22x = 11,615.76 × 4,882.47
  4. Step 4: Simplify right side
    8,417.22x = 56,713,599.73
  5. Step 5: Solve for x
    x = 56,713,599.73/8,417.22
  6. Step 6: Final answer
    x = 6,737.81

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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.