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Finding the Fourth Proportional to 7,309.80, 10,951.92 and 6,085.08

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Solution

The fourth proportional to 7,309.80, 10,951.92 and 6,085.08 is: 9,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.80 : 10,951.92 = 6,085.08 : x
  2. Step 2: Convert to fraction form
    7,309.80/10,951.92 = 6,085.08/x
  3. Step 3: Cross multiply
    7,309.80x = 10,951.92 × 6,085.08
  4. Step 4: Simplify right side
    7,309.80x = 66,643,309.35
  5. Step 5: Solve for x
    x = 66,643,309.35/7,309.80
  6. Step 6: Final answer
    x = 9,116.98

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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.