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Finding the Fourth Proportional to 7,810.35, 10,778.57 and 4,452.63

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Solution

The fourth proportional to 7,810.35, 10,778.57 and 4,452.63 is: 6,144.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.35 : 10,778.57 = 4,452.63 : x
  2. Step 2: Convert to fraction form
    7,810.35/10,778.57 = 4,452.63/x
  3. Step 3: Cross multiply
    7,810.35x = 10,778.57 × 4,452.63
  4. Step 4: Simplify right side
    7,810.35x = 47,992,984.14
  5. Step 5: Solve for x
    x = 47,992,984.14/7,810.35
  6. Step 6: Final answer
    x = 6,144.79

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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.