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Finding the Fourth Proportional to 7,702.90, 11,555.98 and 2,508.38

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Solution

The fourth proportional to 7,702.90, 11,555.98 and 2,508.38 is: 3,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.90 : 11,555.98 = 2,508.38 : x
  2. Step 2: Convert to fraction form
    7,702.90/11,555.98 = 2,508.38/x
  3. Step 3: Cross multiply
    7,702.90x = 11,555.98 × 2,508.38
  4. Step 4: Simplify right side
    7,702.90x = 28,986,789.11
  5. Step 5: Solve for x
    x = 28,986,789.11/7,702.90
  6. Step 6: Final answer
    x = 3,763.10

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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.