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Finding the Fourth Proportional to 11,046.96, 15,246.40 and 6,856.56

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Solution

The fourth proportional to 11,046.96, 15,246.40 and 6,856.56 is: 9,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.96 : 15,246.40 = 6,856.56 : x
  2. Step 2: Convert to fraction form
    11,046.96/15,246.40 = 6,856.56/x
  3. Step 3: Cross multiply
    11,046.96x = 15,246.40 × 6,856.56
  4. Step 4: Simplify right side
    11,046.96x = 104,537,856.38
  5. Step 5: Solve for x
    x = 104,537,856.38/11,046.96
  6. Step 6: Final answer
    x = 9,463.04

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Why These Related Problems?

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