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Finding the Fourth Proportional to 7,775.70, 10,730.42 and 4,418.65

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Solution

The fourth proportional to 7,775.70, 10,730.42 and 4,418.65 is: 6,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.70 : 10,730.42 = 4,418.65 : x
  2. Step 2: Convert to fraction form
    7,775.70/10,730.42 = 4,418.65/x
  3. Step 3: Cross multiply
    7,775.70x = 10,730.42 × 4,418.65
  4. Step 4: Simplify right side
    7,775.70x = 47,414,003.08
  5. Step 5: Solve for x
    x = 47,414,003.08/7,775.70
  6. Step 6: Final answer
    x = 6,097.72

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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.