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Finding the Fourth Proportional to 7,758.89, 10,708.38 and 4,356.26

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Solution

The fourth proportional to 7,758.89, 10,708.38 and 4,356.26 is: 6,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.89 : 10,708.38 = 4,356.26 : x
  2. Step 2: Convert to fraction form
    7,758.89/10,708.38 = 4,356.26/x
  3. Step 3: Cross multiply
    7,758.89x = 10,708.38 × 4,356.26
  4. Step 4: Simplify right side
    7,758.89x = 46,648,514.23
  5. Step 5: Solve for x
    x = 46,648,514.23/7,758.89
  6. Step 6: Final answer
    x = 6,012.26

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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.