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Finding the Fourth Proportional to 7,813.49, 11,714.17 and 3,862.02

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Solution

The fourth proportional to 7,813.49, 11,714.17 and 3,862.02 is: 5,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.49 : 11,714.17 = 3,862.02 : x
  2. Step 2: Convert to fraction form
    7,813.49/11,714.17 = 3,862.02/x
  3. Step 3: Cross multiply
    7,813.49x = 11,714.17 × 3,862.02
  4. Step 4: Simplify right side
    7,813.49x = 45,240,358.82
  5. Step 5: Solve for x
    x = 45,240,358.82/7,813.49
  6. Step 6: Final answer
    x = 5,790.03

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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.