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Finding the Fourth Proportional to 7,357.82, 10,154.36 and 4,214.07

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Solution

The fourth proportional to 7,357.82, 10,154.36 and 4,214.07 is: 5,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.82 : 10,154.36 = 4,214.07 : x
  2. Step 2: Convert to fraction form
    7,357.82/10,154.36 = 4,214.07/x
  3. Step 3: Cross multiply
    7,357.82x = 10,154.36 × 4,214.07
  4. Step 4: Simplify right side
    7,357.82x = 42,791,194.38
  5. Step 5: Solve for x
    x = 42,791,194.38/7,357.82
  6. Step 6: Final answer
    x = 5,815.75

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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.