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Finding the Fourth Proportional to 7,794.66, 10,756.11 and 4,257.86

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Solution

The fourth proportional to 7,794.66, 10,756.11 and 4,257.86 is: 5,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.66 : 10,756.11 = 4,257.86 : x
  2. Step 2: Convert to fraction form
    7,794.66/10,756.11 = 4,257.86/x
  3. Step 3: Cross multiply
    7,794.66x = 10,756.11 × 4,257.86
  4. Step 4: Simplify right side
    7,794.66x = 45,798,010.52
  5. Step 5: Solve for x
    x = 45,798,010.52/7,794.66
  6. Step 6: Final answer
    x = 5,875.56

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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.