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Finding the Fourth Proportional to 7,650.46, 10,557.74 and 4,293.08

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Solution

The fourth proportional to 7,650.46, 10,557.74 and 4,293.08 is: 5,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.46 : 10,557.74 = 4,293.08 : x
  2. Step 2: Convert to fraction form
    7,650.46/10,557.74 = 4,293.08/x
  3. Step 3: Cross multiply
    7,650.46x = 10,557.74 × 4,293.08
  4. Step 4: Simplify right side
    7,650.46x = 45,325,180.38
  5. Step 5: Solve for x
    x = 45,325,180.38/7,650.46
  6. Step 6: Final answer
    x = 5,924.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.