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Finding the Fourth Proportional to 8,966.12, 13,427.24 and 7,741.40

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Solution

The fourth proportional to 8,966.12, 13,427.24 and 7,741.40 is: 11,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.12 : 13,427.24 = 7,741.40 : x
  2. Step 2: Convert to fraction form
    8,966.12/13,427.24 = 7,741.40/x
  3. Step 3: Cross multiply
    8,966.12x = 13,427.24 × 7,741.40
  4. Step 4: Simplify right side
    8,966.12x = 103,945,635.74
  5. Step 5: Solve for x
    x = 103,945,635.74/8,966.12
  6. Step 6: Final answer
    x = 11,593.16

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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.