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Finding the Fourth Proportional to 11,424.86, 15,759.74 and 6,708.23

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Solution

The fourth proportional to 11,424.86, 15,759.74 and 6,708.23 is: 9,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.86 : 15,759.74 = 6,708.23 : x
  2. Step 2: Convert to fraction form
    11,424.86/15,759.74 = 6,708.23/x
  3. Step 3: Cross multiply
    11,424.86x = 15,759.74 × 6,708.23
  4. Step 4: Simplify right side
    11,424.86x = 105,719,927.12
  5. Step 5: Solve for x
    x = 105,719,927.12/11,424.86
  6. Step 6: Final answer
    x = 9,253.50

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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.