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Finding the Fourth Proportional to 10,977.74, 15,147.87 and 6,261.74

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Solution

The fourth proportional to 10,977.74, 15,147.87 and 6,261.74 is: 8,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.74 : 15,147.87 = 6,261.74 : x
  2. Step 2: Convert to fraction form
    10,977.74/15,147.87 = 6,261.74/x
  3. Step 3: Cross multiply
    10,977.74x = 15,147.87 × 6,261.74
  4. Step 4: Simplify right side
    10,977.74x = 94,852,023.49
  5. Step 5: Solve for x
    x = 94,852,023.49/10,977.74
  6. Step 6: Final answer
    x = 8,640.40

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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.