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Finding the Fourth Proportional to 8,920.03, 12,365.98 and 8,446

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Solution

The fourth proportional to 8,920.03, 12,365.98 and 8,446 is: 11,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.03 : 12,365.98 = 8,446 : x
  2. Step 2: Convert to fraction form
    8,920.03/12,365.98 = 8,446/x
  3. Step 3: Cross multiply
    8,920.03x = 12,365.98 × 8,446
  4. Step 4: Simplify right side
    8,920.03x = 104,443,067.08
  5. Step 5: Solve for x
    x = 104,443,067.08/8,920.03
  6. Step 6: Final answer
    x = 11,708.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.