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Finding the Fourth Proportional to 8,741.64, 12,063.72 and 6,193.98

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Solution

The fourth proportional to 8,741.64, 12,063.72 and 6,193.98 is: 8,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.64 : 12,063.72 = 6,193.98 : x
  2. Step 2: Convert to fraction form
    8,741.64/12,063.72 = 6,193.98/x
  3. Step 3: Cross multiply
    8,741.64x = 12,063.72 × 6,193.98
  4. Step 4: Simplify right side
    8,741.64x = 74,722,440.41
  5. Step 5: Solve for x
    x = 74,722,440.41/8,741.64
  6. Step 6: Final answer
    x = 8,547.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.