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Finding the Fourth Proportional to 10,690.71, 16,044.71 and 5,498.07

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Solution

The fourth proportional to 10,690.71, 16,044.71 and 5,498.07 is: 8,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.71 : 16,044.71 = 5,498.07 : x
  2. Step 2: Convert to fraction form
    10,690.71/16,044.71 = 5,498.07/x
  3. Step 3: Cross multiply
    10,690.71x = 16,044.71 × 5,498.07
  4. Step 4: Simplify right side
    10,690.71x = 88,214,911.22
  5. Step 5: Solve for x
    x = 88,214,911.22/10,690.71
  6. Step 6: Final answer
    x = 8,251.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.