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Finding the Fourth Proportional to 7,149.94, 10,715.15 and 4,031.46

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Solution

The fourth proportional to 7,149.94, 10,715.15 and 4,031.46 is: 6,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.94 : 10,715.15 = 4,031.46 : x
  2. Step 2: Convert to fraction form
    7,149.94/10,715.15 = 4,031.46/x
  3. Step 3: Cross multiply
    7,149.94x = 10,715.15 × 4,031.46
  4. Step 4: Simplify right side
    7,149.94x = 43,197,698.62
  5. Step 5: Solve for x
    x = 43,197,698.62/7,149.94
  6. Step 6: Final answer
    x = 6,041.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.