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Finding the Fourth Proportional to 6,959.16, 10,418.22 and 3,665.16

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Solution

The fourth proportional to 6,959.16, 10,418.22 and 3,665.16 is: 5,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.16 : 10,418.22 = 3,665.16 : x
  2. Step 2: Convert to fraction form
    6,959.16/10,418.22 = 3,665.16/x
  3. Step 3: Cross multiply
    6,959.16x = 10,418.22 × 3,665.16
  4. Step 4: Simplify right side
    6,959.16x = 38,184,443.22
  5. Step 5: Solve for x
    x = 38,184,443.22/6,959.16
  6. Step 6: Final answer
    x = 5,486.93

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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.