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Finding the Fourth Proportional to 7,176.28, 9,903.18 and 4,033

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Solution

The fourth proportional to 7,176.28, 9,903.18 and 4,033 is: 5,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.28 : 9,903.18 = 4,033 : x
  2. Step 2: Convert to fraction form
    7,176.28/9,903.18 = 4,033/x
  3. Step 3: Cross multiply
    7,176.28x = 9,903.18 × 4,033
  4. Step 4: Simplify right side
    7,176.28x = 39,939,524.94
  5. Step 5: Solve for x
    x = 39,939,524.94/7,176.28
  6. Step 6: Final answer
    x = 5,565.49

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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.