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Finding the Fourth Proportional to 7,428.61, 10,251.03 and 4,070.75

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Solution

The fourth proportional to 7,428.61, 10,251.03 and 4,070.75 is: 5,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.61 : 10,251.03 = 4,070.75 : x
  2. Step 2: Convert to fraction form
    7,428.61/10,251.03 = 4,070.75/x
  3. Step 3: Cross multiply
    7,428.61x = 10,251.03 × 4,070.75
  4. Step 4: Simplify right side
    7,428.61x = 41,729,380.37
  5. Step 5: Solve for x
    x = 41,729,380.37/7,428.61
  6. Step 6: Final answer
    x = 5,617.39

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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.