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Finding the Fourth Proportional to 7,700.18, 11,549.19 and 2,769.08

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Solution

The fourth proportional to 7,700.18, 11,549.19 and 2,769.08 is: 4,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.18 : 11,549.19 = 2,769.08 : x
  2. Step 2: Convert to fraction form
    7,700.18/11,549.19 = 2,769.08/x
  3. Step 3: Cross multiply
    7,700.18x = 11,549.19 × 2,769.08
  4. Step 4: Simplify right side
    7,700.18x = 31,980,631.05
  5. Step 5: Solve for x
    x = 31,980,631.05/7,700.18
  6. Step 6: Final answer
    x = 4,153.23

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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.