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Finding the Fourth Proportional to 8,290.40, 11,441.04 and 4,753.76

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Solution

The fourth proportional to 8,290.40, 11,441.04 and 4,753.76 is: 6,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.40 : 11,441.04 = 4,753.76 : x
  2. Step 2: Convert to fraction form
    8,290.40/11,441.04 = 4,753.76/x
  3. Step 3: Cross multiply
    8,290.40x = 11,441.04 × 4,753.76
  4. Step 4: Simplify right side
    8,290.40x = 54,387,958.31
  5. Step 5: Solve for x
    x = 54,387,958.31/8,290.40
  6. Step 6: Final answer
    x = 6,560.35

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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.