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Finding the Fourth Proportional to 10,407.62, 14,362.72 and 6,218.30

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Solution

The fourth proportional to 10,407.62, 14,362.72 and 6,218.30 is: 8,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.62 : 14,362.72 = 6,218.30 : x
  2. Step 2: Convert to fraction form
    10,407.62/14,362.72 = 6,218.30/x
  3. Step 3: Cross multiply
    10,407.62x = 14,362.72 × 6,218.30
  4. Step 4: Simplify right side
    10,407.62x = 89,311,701.78
  5. Step 5: Solve for x
    x = 89,311,701.78/10,407.62
  6. Step 6: Final answer
    x = 8,581.38

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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.