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Finding the Fourth Proportional to 8,290.42, 11,441.02 and 4,705.32

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Solution

The fourth proportional to 8,290.42, 11,441.02 and 4,705.32 is: 6,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.42 : 11,441.02 = 4,705.32 : x
  2. Step 2: Convert to fraction form
    8,290.42/11,441.02 = 4,705.32/x
  3. Step 3: Cross multiply
    8,290.42x = 11,441.02 × 4,705.32
  4. Step 4: Simplify right side
    8,290.42x = 53,833,660.23
  5. Step 5: Solve for x
    x = 53,833,660.23/8,290.42
  6. Step 6: Final answer
    x = 6,493.48

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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.