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Finding the Fourth Proportional to 11,350.45, 15,654.74 and 7,767.53

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Solution

The fourth proportional to 11,350.45, 15,654.74 and 7,767.53 is: 10,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,350.45 : 15,654.74 = 7,767.53 : x
  2. Step 2: Convert to fraction form
    11,350.45/15,654.74 = 7,767.53/x
  3. Step 3: Cross multiply
    11,350.45x = 15,654.74 × 7,767.53
  4. Step 4: Simplify right side
    11,350.45x = 121,598,662.59
  5. Step 5: Solve for x
    x = 121,598,662.59/11,350.45
  6. Step 6: Final answer
    x = 10,713.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.