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Finding the Fourth Proportional to 7,451, 11,176.32 and 3,065.48

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Solution

The fourth proportional to 7,451, 11,176.32 and 3,065.48 is: 4,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451 : 11,176.32 = 3,065.48 : x
  2. Step 2: Convert to fraction form
    7,451/11,176.32 = 3,065.48/x
  3. Step 3: Cross multiply
    7,451x = 11,176.32 × 3,065.48
  4. Step 4: Simplify right side
    7,451x = 34,260,785.43
  5. Step 5: Solve for x
    x = 34,260,785.43/7,451
  6. Step 6: Final answer
    x = 4,598.15

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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.