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Finding the Fourth Proportional to 6,959.12, 10,435.10 and 2,278.53

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Solution

The fourth proportional to 6,959.12, 10,435.10 and 2,278.53 is: 3,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.12 : 10,435.10 = 2,278.53 : x
  2. Step 2: Convert to fraction form
    6,959.12/10,435.10 = 2,278.53/x
  3. Step 3: Cross multiply
    6,959.12x = 10,435.10 × 2,278.53
  4. Step 4: Simplify right side
    6,959.12x = 23,776,677.01
  5. Step 5: Solve for x
    x = 23,776,677.01/6,959.12
  6. Step 6: Final answer
    x = 3,416.62

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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.