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Finding the Fourth Proportional to 7,374.71, 10,167.14 and 7,145.39

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Solution

The fourth proportional to 7,374.71, 10,167.14 and 7,145.39 is: 9,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.71 : 10,167.14 = 7,145.39 : x
  2. Step 2: Convert to fraction form
    7,374.71/10,167.14 = 7,145.39/x
  3. Step 3: Cross multiply
    7,374.71x = 10,167.14 × 7,145.39
  4. Step 4: Simplify right side
    7,374.71x = 72,648,093.92
  5. Step 5: Solve for x
    x = 72,648,093.92/7,374.71
  6. Step 6: Final answer
    x = 9,850.98

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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.