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Finding the Fourth Proportional to 6,377.46, 8,803.68 and 4,965.03

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Solution

The fourth proportional to 6,377.46, 8,803.68 and 4,965.03 is: 6,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.46 : 8,803.68 = 4,965.03 : x
  2. Step 2: Convert to fraction form
    6,377.46/8,803.68 = 4,965.03/x
  3. Step 3: Cross multiply
    6,377.46x = 8,803.68 × 4,965.03
  4. Step 4: Simplify right side
    6,377.46x = 43,710,535.31
  5. Step 5: Solve for x
    x = 43,710,535.31/6,377.46
  6. Step 6: Final answer
    x = 6,853.91

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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.