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Finding the Fourth Proportional to 10,698.57, 16,043.76 and 3,677.28

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Solution

The fourth proportional to 10,698.57, 16,043.76 and 3,677.28 is: 5,514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.57 : 16,043.76 = 3,677.28 : x
  2. Step 2: Convert to fraction form
    10,698.57/16,043.76 = 3,677.28/x
  3. Step 3: Cross multiply
    10,698.57x = 16,043.76 × 3,677.28
  4. Step 4: Simplify right side
    10,698.57x = 58,997,397.77
  5. Step 5: Solve for x
    x = 58,997,397.77/10,698.57
  6. Step 6: Final answer
    x = 5,514.51

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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.