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Finding the Fourth Proportional to 7,176.85, 9,904.01 and 4,033.04

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Solution

The fourth proportional to 7,176.85, 9,904.01 and 4,033.04 is: 5,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.85 : 9,904.01 = 4,033.04 : x
  2. Step 2: Convert to fraction form
    7,176.85/9,904.01 = 4,033.04/x
  3. Step 3: Cross multiply
    7,176.85x = 9,904.01 × 4,033.04
  4. Step 4: Simplify right side
    7,176.85x = 39,943,198.81
  5. Step 5: Solve for x
    x = 39,943,198.81/7,176.85
  6. Step 6: Final answer
    x = 5,565.56

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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.