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Finding the Fourth Proportional to 7,634.95, 10,536.87 and 4,277.71

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Solution

The fourth proportional to 7,634.95, 10,536.87 and 4,277.71 is: 5,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.95 : 10,536.87 = 4,277.71 : x
  2. Step 2: Convert to fraction form
    7,634.95/10,536.87 = 4,277.71/x
  3. Step 3: Cross multiply
    7,634.95x = 10,536.87 × 4,277.71
  4. Step 4: Simplify right side
    7,634.95x = 45,073,703.38
  5. Step 5: Solve for x
    x = 45,073,703.38/7,634.95
  6. Step 6: Final answer
    x = 5,903.60

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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.