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Finding the Fourth Proportional to 7,701.86, 11,553.87 and 2,506.52

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Solution

The fourth proportional to 7,701.86, 11,553.87 and 2,506.52 is: 3,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.86 : 11,553.87 = 2,506.52 : x
  2. Step 2: Convert to fraction form
    7,701.86/11,553.87 = 2,506.52/x
  3. Step 3: Cross multiply
    7,701.86x = 11,553.87 × 2,506.52
  4. Step 4: Simplify right side
    7,701.86x = 28,960,006.23
  5. Step 5: Solve for x
    x = 28,960,006.23/7,701.86
  6. Step 6: Final answer
    x = 3,760.13

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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.