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Finding the Fourth Proportional to 7,402.08, 10,214.25 and 4,214.52

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Solution

The fourth proportional to 7,402.08, 10,214.25 and 4,214.52 is: 5,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.08 : 10,214.25 = 4,214.52 : x
  2. Step 2: Convert to fraction form
    7,402.08/10,214.25 = 4,214.52/x
  3. Step 3: Cross multiply
    7,402.08x = 10,214.25 × 4,214.52
  4. Step 4: Simplify right side
    7,402.08x = 43,048,160.91
  5. Step 5: Solve for x
    x = 43,048,160.91/7,402.08
  6. Step 6: Final answer
    x = 5,815.68

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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.