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Finding the Fourth Proportional to 7,721, 10,656.42 and 4,409

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Solution

The fourth proportional to 7,721, 10,656.42 and 4,409 is: 6,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721 : 10,656.42 = 4,409 : x
  2. Step 2: Convert to fraction form
    7,721/10,656.42 = 4,409/x
  3. Step 3: Cross multiply
    7,721x = 10,656.42 × 4,409
  4. Step 4: Simplify right side
    7,721x = 46,984,155.78
  5. Step 5: Solve for x
    x = 46,984,155.78/7,721
  6. Step 6: Final answer
    x = 6,085.24

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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.