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Finding the Fourth Proportional to 7,921.85, 10,930.07 and 4,775.81

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Solution

The fourth proportional to 7,921.85, 10,930.07 and 4,775.81 is: 6,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.85 : 10,930.07 = 4,775.81 : x
  2. Step 2: Convert to fraction form
    7,921.85/10,930.07 = 4,775.81/x
  3. Step 3: Cross multiply
    7,921.85x = 10,930.07 × 4,775.81
  4. Step 4: Simplify right side
    7,921.85x = 52,199,894.90
  5. Step 5: Solve for x
    x = 52,199,894.90/7,921.85
  6. Step 6: Final answer
    x = 6,589.36

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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.