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Finding the Fourth Proportional to 11,376.64, 15,698.56 and 6,407.68

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Solution

The fourth proportional to 11,376.64, 15,698.56 and 6,407.68 is: 8,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.64 : 15,698.56 = 6,407.68 : x
  2. Step 2: Convert to fraction form
    11,376.64/15,698.56 = 6,407.68/x
  3. Step 3: Cross multiply
    11,376.64x = 15,698.56 × 6,407.68
  4. Step 4: Simplify right side
    11,376.64x = 100,591,348.94
  5. Step 5: Solve for x
    x = 100,591,348.94/11,376.64
  6. Step 6: Final answer
    x = 8,841.92

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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.