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Finding the Fourth Proportional to 10,481.88, 14,465 and 6,290.13

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Solution

The fourth proportional to 10,481.88, 14,465 and 6,290.13 is: 8,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.88 : 14,465 = 6,290.13 : x
  2. Step 2: Convert to fraction form
    10,481.88/14,465 = 6,290.13/x
  3. Step 3: Cross multiply
    10,481.88x = 14,465 × 6,290.13
  4. Step 4: Simplify right side
    10,481.88x = 90,986,730.45
  5. Step 5: Solve for x
    x = 90,986,730.45/10,481.88
  6. Step 6: Final answer
    x = 8,680.38

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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.