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Finding the Fourth Proportional to 10,947.84, 16,415.16 and 4,615.16

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Solution

The fourth proportional to 10,947.84, 16,415.16 and 4,615.16 is: 6,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.84 : 16,415.16 = 4,615.16 : x
  2. Step 2: Convert to fraction form
    10,947.84/16,415.16 = 4,615.16/x
  3. Step 3: Cross multiply
    10,947.84x = 16,415.16 × 4,615.16
  4. Step 4: Simplify right side
    10,947.84x = 75,758,589.83
  5. Step 5: Solve for x
    x = 75,758,589.83/10,947.84
  6. Step 6: Final answer
    x = 6,919.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.