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Finding the Fourth Proportional to 7,702.83, 11,555.99 and 2,438.16

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Solution

The fourth proportional to 7,702.83, 11,555.99 and 2,438.16 is: 3,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.83 : 11,555.99 = 2,438.16 : x
  2. Step 2: Convert to fraction form
    7,702.83/11,555.99 = 2,438.16/x
  3. Step 3: Cross multiply
    7,702.83x = 11,555.99 × 2,438.16
  4. Step 4: Simplify right side
    7,702.83x = 28,175,340.39
  5. Step 5: Solve for x
    x = 28,175,340.39/7,702.83
  6. Step 6: Final answer
    x = 3,657.79

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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.