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Finding the Fourth Proportional to 8,186.16, 12,268.74 and 5,959.35

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Solution

The fourth proportional to 8,186.16, 12,268.74 and 5,959.35 is: 8,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.16 : 12,268.74 = 5,959.35 : x
  2. Step 2: Convert to fraction form
    8,186.16/12,268.74 = 5,959.35/x
  3. Step 3: Cross multiply
    8,186.16x = 12,268.74 × 5,959.35
  4. Step 4: Simplify right side
    8,186.16x = 73,113,715.72
  5. Step 5: Solve for x
    x = 73,113,715.72/8,186.16
  6. Step 6: Final answer
    x = 8,931.38

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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.