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Finding the Fourth Proportional to 7,348.84, 10,139.10 and 4,204.42

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Solution

The fourth proportional to 7,348.84, 10,139.10 and 4,204.42 is: 5,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.84 : 10,139.10 = 4,204.42 : x
  2. Step 2: Convert to fraction form
    7,348.84/10,139.10 = 4,204.42/x
  3. Step 3: Cross multiply
    7,348.84x = 10,139.10 × 4,204.42
  4. Step 4: Simplify right side
    7,348.84x = 42,629,034.82
  5. Step 5: Solve for x
    x = 42,629,034.82/7,348.84
  6. Step 6: Final answer
    x = 5,800.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.