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Finding the Fourth Proportional to 6,697.69, 10,046.45 and 2,802.11

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Solution

The fourth proportional to 6,697.69, 10,046.45 and 2,802.11 is: 4,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.69 : 10,046.45 = 2,802.11 : x
  2. Step 2: Convert to fraction form
    6,697.69/10,046.45 = 2,802.11/x
  3. Step 3: Cross multiply
    6,697.69x = 10,046.45 × 2,802.11
  4. Step 4: Simplify right side
    6,697.69x = 28,151,214.78
  5. Step 5: Solve for x
    x = 28,151,214.78/6,697.69
  6. Step 6: Final answer
    x = 4,203.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.