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Finding the Fourth Proportional to 7,118.46, 10,677.69 and 3,218.31

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Solution

The fourth proportional to 7,118.46, 10,677.69 and 3,218.31 is: 4,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.46 : 10,677.69 = 3,218.31 : x
  2. Step 2: Convert to fraction form
    7,118.46/10,677.69 = 3,218.31/x
  3. Step 3: Cross multiply
    7,118.46x = 10,677.69 × 3,218.31
  4. Step 4: Simplify right side
    7,118.46x = 34,364,116.50
  5. Step 5: Solve for x
    x = 34,364,116.50/7,118.46
  6. Step 6: Final answer
    x = 4,827.47

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Why These Related Problems?

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