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Finding the Fourth Proportional to 6,809.52, 10,214.30 and 4,723.40

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Solution

The fourth proportional to 6,809.52, 10,214.30 and 4,723.40 is: 7,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.52 : 10,214.30 = 4,723.40 : x
  2. Step 2: Convert to fraction form
    6,809.52/10,214.30 = 4,723.40/x
  3. Step 3: Cross multiply
    6,809.52x = 10,214.30 × 4,723.40
  4. Step 4: Simplify right side
    6,809.52x = 48,246,224.62
  5. Step 5: Solve for x
    x = 48,246,224.62/6,809.52
  6. Step 6: Final answer
    x = 7,085.11

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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.