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Finding the Fourth Proportional to 6,959.14, 10,424.80 and 4,184.32

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Solution

The fourth proportional to 6,959.14, 10,424.80 and 4,184.32 is: 6,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.14 : 10,424.80 = 4,184.32 : x
  2. Step 2: Convert to fraction form
    6,959.14/10,424.80 = 4,184.32/x
  3. Step 3: Cross multiply
    6,959.14x = 10,424.80 × 4,184.32
  4. Step 4: Simplify right side
    6,959.14x = 43,620,699.14
  5. Step 5: Solve for x
    x = 43,620,699.14/6,959.14
  6. Step 6: Final answer
    x = 6,268.12

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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.