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Finding the Fourth Proportional to 7,775.66, 10,730.67 and 4,631.42

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Solution

The fourth proportional to 7,775.66, 10,730.67 and 4,631.42 is: 6,391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.66 : 10,730.67 = 4,631.42 : x
  2. Step 2: Convert to fraction form
    7,775.66/10,730.67 = 4,631.42/x
  3. Step 3: Cross multiply
    7,775.66x = 10,730.67 × 4,631.42
  4. Step 4: Simplify right side
    7,775.66x = 49,698,239.65
  5. Step 5: Solve for x
    x = 49,698,239.65/7,775.66
  6. Step 6: Final answer
    x = 6,391.51

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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.