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Finding the Fourth Proportional to 7,402.10, 10,214.49 and 4,044.25

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Solution

The fourth proportional to 7,402.10, 10,214.49 and 4,044.25 is: 5,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.10 : 10,214.49 = 4,044.25 : x
  2. Step 2: Convert to fraction form
    7,402.10/10,214.49 = 4,044.25/x
  3. Step 3: Cross multiply
    7,402.10x = 10,214.49 × 4,044.25
  4. Step 4: Simplify right side
    7,402.10x = 41,309,951.18
  5. Step 5: Solve for x
    x = 41,309,951.18/7,402.10
  6. Step 6: Final answer
    x = 5,580.84

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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.