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Finding the Fourth Proportional to 7,137.65, 10,703.71 and 2,456.77

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Solution

The fourth proportional to 7,137.65, 10,703.71 and 2,456.77 is: 3,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.65 : 10,703.71 = 2,456.77 : x
  2. Step 2: Convert to fraction form
    7,137.65/10,703.71 = 2,456.77/x
  3. Step 3: Cross multiply
    7,137.65x = 10,703.71 × 2,456.77
  4. Step 4: Simplify right side
    7,137.65x = 26,296,553.62
  5. Step 5: Solve for x
    x = 26,296,553.62/7,137.65
  6. Step 6: Final answer
    x = 3,684.20

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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.