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Finding the Fourth Proportional to 6,981.02, 10,463.02 and 3,278.31

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Solution

The fourth proportional to 6,981.02, 10,463.02 and 3,278.31 is: 4,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.02 : 10,463.02 = 3,278.31 : x
  2. Step 2: Convert to fraction form
    6,981.02/10,463.02 = 3,278.31/x
  3. Step 3: Cross multiply
    6,981.02x = 10,463.02 × 3,278.31
  4. Step 4: Simplify right side
    6,981.02x = 34,301,023.10
  5. Step 5: Solve for x
    x = 34,301,023.10/6,981.02
  6. Step 6: Final answer
    x = 4,913.47

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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.