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Finding the Fourth Proportional to 7,763.38, 11,641.29 and 2,567.50

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Solution

The fourth proportional to 7,763.38, 11,641.29 and 2,567.50 is: 3,850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.38 : 11,641.29 = 2,567.50 : x
  2. Step 2: Convert to fraction form
    7,763.38/11,641.29 = 2,567.50/x
  3. Step 3: Cross multiply
    7,763.38x = 11,641.29 × 2,567.50
  4. Step 4: Simplify right side
    7,763.38x = 29,889,012.08
  5. Step 5: Solve for x
    x = 29,889,012.08/7,763.38
  6. Step 6: Final answer
    x = 3,850.00

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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.