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Finding the Fourth Proportional to 7,780.52, 10,743 and 5,131.64

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Solution

The fourth proportional to 7,780.52, 10,743 and 5,131.64 is: 7,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.52 : 10,743 = 5,131.64 : x
  2. Step 2: Convert to fraction form
    7,780.52/10,743 = 5,131.64/x
  3. Step 3: Cross multiply
    7,780.52x = 10,743 × 5,131.64
  4. Step 4: Simplify right side
    7,780.52x = 55,129,208.52
  5. Step 5: Solve for x
    x = 55,129,208.52/7,780.52
  6. Step 6: Final answer
    x = 7,085.54

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