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Finding the Fourth Proportional to 7,763.15, 11,641.14 and 2,497.18

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Solution

The fourth proportional to 7,763.15, 11,641.14 and 2,497.18 is: 3,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.15 : 11,641.14 = 2,497.18 : x
  2. Step 2: Convert to fraction form
    7,763.15/11,641.14 = 2,497.18/x
  3. Step 3: Cross multiply
    7,763.15x = 11,641.14 × 2,497.18
  4. Step 4: Simplify right side
    7,763.15x = 29,070,021.99
  5. Step 5: Solve for x
    x = 29,070,021.99/7,763.15
  6. Step 6: Final answer
    x = 3,744.62

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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.