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Finding the Fourth Proportional to 7,951.14, 10,973.07 and 4,594.57

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Solution

The fourth proportional to 7,951.14, 10,973.07 and 4,594.57 is: 6,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.14 : 10,973.07 = 4,594.57 : x
  2. Step 2: Convert to fraction form
    7,951.14/10,973.07 = 4,594.57/x
  3. Step 3: Cross multiply
    7,951.14x = 10,973.07 × 4,594.57
  4. Step 4: Simplify right side
    7,951.14x = 50,416,510.80
  5. Step 5: Solve for x
    x = 50,416,510.80/7,951.14
  6. Step 6: Final answer
    x = 6,340.79

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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.