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Finding the Fourth Proportional to 11,774.68, 16,242.30 and 7,351

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Solution

The fourth proportional to 11,774.68, 16,242.30 and 7,351 is: 10,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.68 : 16,242.30 = 7,351 : x
  2. Step 2: Convert to fraction form
    11,774.68/16,242.30 = 7,351/x
  3. Step 3: Cross multiply
    11,774.68x = 16,242.30 × 7,351
  4. Step 4: Simplify right side
    11,774.68x = 119,397,147.30
  5. Step 5: Solve for x
    x = 119,397,147.30/11,774.68
  6. Step 6: Final answer
    x = 10,140.16

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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.