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Finding the Fourth Proportional to 7,176.61, 10,769.09 and 3,016.30

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Solution

The fourth proportional to 7,176.61, 10,769.09 and 3,016.30 is: 4,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.61 : 10,769.09 = 3,016.30 : x
  2. Step 2: Convert to fraction form
    7,176.61/10,769.09 = 3,016.30/x
  3. Step 3: Cross multiply
    7,176.61x = 10,769.09 × 3,016.30
  4. Step 4: Simplify right side
    7,176.61x = 32,482,806.17
  5. Step 5: Solve for x
    x = 32,482,806.17/7,176.61
  6. Step 6: Final answer
    x = 4,526.20

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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.