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Finding the Fourth Proportional to 10,498.74, 14,489.28 and 7,841.54

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Solution

The fourth proportional to 10,498.74, 14,489.28 and 7,841.54 is: 10,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.74 : 14,489.28 = 7,841.54 : x
  2. Step 2: Convert to fraction form
    10,498.74/14,489.28 = 7,841.54/x
  3. Step 3: Cross multiply
    10,498.74x = 14,489.28 × 7,841.54
  4. Step 4: Simplify right side
    10,498.74x = 113,618,268.69
  5. Step 5: Solve for x
    x = 113,618,268.69/10,498.74
  6. Step 6: Final answer
    x = 10,822.09

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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.