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Finding the Fourth Proportional to 11,382.48, 15,707.22 and 6,347.22

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Solution

The fourth proportional to 11,382.48, 15,707.22 and 6,347.22 is: 8,758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.48 : 15,707.22 = 6,347.22 : x
  2. Step 2: Convert to fraction form
    11,382.48/15,707.22 = 6,347.22/x
  3. Step 3: Cross multiply
    11,382.48x = 15,707.22 × 6,347.22
  4. Step 4: Simplify right side
    11,382.48x = 99,697,180.93
  5. Step 5: Solve for x
    x = 99,697,180.93/11,382.48
  6. Step 6: Final answer
    x = 8,758.83

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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.