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Finding the Fourth Proportional to 10,977.72, 15,146.88 and 6,502.86

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Solution

The fourth proportional to 10,977.72, 15,146.88 and 6,502.86 is: 8,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.72 : 15,146.88 = 6,502.86 : x
  2. Step 2: Convert to fraction form
    10,977.72/15,146.88 = 6,502.86/x
  3. Step 3: Cross multiply
    10,977.72x = 15,146.88 × 6,502.86
  4. Step 4: Simplify right side
    10,977.72x = 98,498,040.08
  5. Step 5: Solve for x
    x = 98,498,040.08/10,977.72
  6. Step 6: Final answer
    x = 8,972.54

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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.