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Finding the Fourth Proportional to 8,498.28, 11,730.76 and 7,298.44

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Solution

The fourth proportional to 8,498.28, 11,730.76 and 7,298.44 is: 10,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.28 : 11,730.76 = 7,298.44 : x
  2. Step 2: Convert to fraction form
    8,498.28/11,730.76 = 7,298.44/x
  3. Step 3: Cross multiply
    8,498.28x = 11,730.76 × 7,298.44
  4. Step 4: Simplify right side
    8,498.28x = 85,616,248.01
  5. Step 5: Solve for x
    x = 85,616,248.01/8,498.28
  6. Step 6: Final answer
    x = 10,074.54

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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.