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Finding the Fourth Proportional to 8,044.32, 11,101.22 and 4,857.76

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Solution

The fourth proportional to 8,044.32, 11,101.22 and 4,857.76 is: 6,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.32 : 11,101.22 = 4,857.76 : x
  2. Step 2: Convert to fraction form
    8,044.32/11,101.22 = 4,857.76/x
  3. Step 3: Cross multiply
    8,044.32x = 11,101.22 × 4,857.76
  4. Step 4: Simplify right side
    8,044.32x = 53,927,062.47
  5. Step 5: Solve for x
    x = 53,927,062.47/8,044.32
  6. Step 6: Final answer
    x = 6,703.74

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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.