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Finding the Fourth Proportional to 7,734.65, 10,665.74 and 4,590.23

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Solution

The fourth proportional to 7,734.65, 10,665.74 and 4,590.23 is: 6,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.65 : 10,665.74 = 4,590.23 : x
  2. Step 2: Convert to fraction form
    7,734.65/10,665.74 = 4,590.23/x
  3. Step 3: Cross multiply
    7,734.65x = 10,665.74 × 4,590.23
  4. Step 4: Simplify right side
    7,734.65x = 48,958,157.87
  5. Step 5: Solve for x
    x = 48,958,157.87/7,734.65
  6. Step 6: Final answer
    x = 6,329.72

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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.