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Finding the Fourth Proportional to 7,358.58, 10,154.43 and 4,214.97

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Solution

The fourth proportional to 7,358.58, 10,154.43 and 4,214.97 is: 5,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.58 : 10,154.43 = 4,214.97 : x
  2. Step 2: Convert to fraction form
    7,358.58/10,154.43 = 4,214.97/x
  3. Step 3: Cross multiply
    7,358.58x = 10,154.43 × 4,214.97
  4. Step 4: Simplify right side
    7,358.58x = 42,800,617.82
  5. Step 5: Solve for x
    x = 42,800,617.82/7,358.58
  6. Step 6: Final answer
    x = 5,816.42

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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.