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Finding the Fourth Proportional to 7,720.65, 10,654.38 and 4,363.47

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Solution

The fourth proportional to 7,720.65, 10,654.38 and 4,363.47 is: 6,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.65 : 10,654.38 = 4,363.47 : x
  2. Step 2: Convert to fraction form
    7,720.65/10,654.38 = 4,363.47/x
  3. Step 3: Cross multiply
    7,720.65x = 10,654.38 × 4,363.47
  4. Step 4: Simplify right side
    7,720.65x = 46,490,067.50
  5. Step 5: Solve for x
    x = 46,490,067.50/7,720.65
  6. Step 6: Final answer
    x = 6,021.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.