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Finding the Fourth Proportional to 7,860.68, 10,847.57 and 4,275.71

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Solution

The fourth proportional to 7,860.68, 10,847.57 and 4,275.71 is: 5,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.68 : 10,847.57 = 4,275.71 : x
  2. Step 2: Convert to fraction form
    7,860.68/10,847.57 = 4,275.71/x
  3. Step 3: Cross multiply
    7,860.68x = 10,847.57 × 4,275.71
  4. Step 4: Simplify right side
    7,860.68x = 46,380,998.60
  5. Step 5: Solve for x
    x = 46,380,998.60/7,860.68
  6. Step 6: Final answer
    x = 5,900.38

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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.