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Finding the Fourth Proportional to 7,934.34, 11,901.60 and 2,739

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Solution

The fourth proportional to 7,934.34, 11,901.60 and 2,739 is: 4,108.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.34 : 11,901.60 = 2,739 : x
  2. Step 2: Convert to fraction form
    7,934.34/11,901.60 = 2,739/x
  3. Step 3: Cross multiply
    7,934.34x = 11,901.60 × 2,739
  4. Step 4: Simplify right side
    7,934.34x = 32,598,482.40
  5. Step 5: Solve for x
    x = 32,598,482.40/7,934.34
  6. Step 6: Final answer
    x = 4,108.53

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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.