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Finding the Fourth Proportional to 7,702.50, 11,555.18 and 2,438.83

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Solution

The fourth proportional to 7,702.50, 11,555.18 and 2,438.83 is: 3,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.50 : 11,555.18 = 2,438.83 : x
  2. Step 2: Convert to fraction form
    7,702.50/11,555.18 = 2,438.83/x
  3. Step 3: Cross multiply
    7,702.50x = 11,555.18 × 2,438.83
  4. Step 4: Simplify right side
    7,702.50x = 28,181,119.64
  5. Step 5: Solve for x
    x = 28,181,119.64/7,702.50
  6. Step 6: Final answer
    x = 3,658.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.