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Finding the Fourth Proportional to 11,382.66, 15,707.82 and 6,346.86

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Solution

The fourth proportional to 11,382.66, 15,707.82 and 6,346.86 is: 8,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.66 : 15,707.82 = 6,346.86 : x
  2. Step 2: Convert to fraction form
    11,382.66/15,707.82 = 6,346.86/x
  3. Step 3: Cross multiply
    11,382.66x = 15,707.82 × 6,346.86
  4. Step 4: Simplify right side
    11,382.66x = 99,695,334.45
  5. Step 5: Solve for x
    x = 99,695,334.45/11,382.66
  6. Step 6: Final answer
    x = 8,758.53

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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.