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Finding the Fourth Proportional to 7,675.74, 11,513.85 and 2,129.13

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Solution

The fourth proportional to 7,675.74, 11,513.85 and 2,129.13 is: 3,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.74 : 11,513.85 = 2,129.13 : x
  2. Step 2: Convert to fraction form
    7,675.74/11,513.85 = 2,129.13/x
  3. Step 3: Cross multiply
    7,675.74x = 11,513.85 × 2,129.13
  4. Step 4: Simplify right side
    7,675.74x = 24,514,483.45
  5. Step 5: Solve for x
    x = 24,514,483.45/7,675.74
  6. Step 6: Final answer
    x = 3,193.76

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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.