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Finding the Fourth Proportional to 7,763.40, 11,641.51 and 2,497.43

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Solution

The fourth proportional to 7,763.40, 11,641.51 and 2,497.43 is: 3,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.40 : 11,641.51 = 2,497.43 : x
  2. Step 2: Convert to fraction form
    7,763.40/11,641.51 = 2,497.43/x
  3. Step 3: Cross multiply
    7,763.40x = 11,641.51 × 2,497.43
  4. Step 4: Simplify right side
    7,763.40x = 29,073,856.32
  5. Step 5: Solve for x
    x = 29,073,856.32/7,763.40
  6. Step 6: Final answer
    x = 3,744.99

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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.