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Finding the Fourth Proportional to 7,402.09, 10,214.76 and 4,044.83

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Solution

The fourth proportional to 7,402.09, 10,214.76 and 4,044.83 is: 5,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.09 : 10,214.76 = 4,044.83 : x
  2. Step 2: Convert to fraction form
    7,402.09/10,214.76 = 4,044.83/x
  3. Step 3: Cross multiply
    7,402.09x = 10,214.76 × 4,044.83
  4. Step 4: Simplify right side
    7,402.09x = 41,316,947.47
  5. Step 5: Solve for x
    x = 41,316,947.47/7,402.09
  6. Step 6: Final answer
    x = 5,581.80

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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.