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Finding the Fourth Proportional to 11,462.77, 15,818.66 and 6,358.65

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Solution

The fourth proportional to 11,462.77, 15,818.66 and 6,358.65 is: 8,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.77 : 15,818.66 = 6,358.65 : x
  2. Step 2: Convert to fraction form
    11,462.77/15,818.66 = 6,358.65/x
  3. Step 3: Cross multiply
    11,462.77x = 15,818.66 × 6,358.65
  4. Step 4: Simplify right side
    11,462.77x = 100,585,322.41
  5. Step 5: Solve for x
    x = 100,585,322.41/11,462.77
  6. Step 6: Final answer
    x = 8,774.96

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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.