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Finding the Fourth Proportional to 8,184.81, 11,297.57 and 5,042.01

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Solution

The fourth proportional to 8,184.81, 11,297.57 and 5,042.01 is: 6,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.81 : 11,297.57 = 5,042.01 : x
  2. Step 2: Convert to fraction form
    8,184.81/11,297.57 = 5,042.01/x
  3. Step 3: Cross multiply
    8,184.81x = 11,297.57 × 5,042.01
  4. Step 4: Simplify right side
    8,184.81x = 56,962,435.71
  5. Step 5: Solve for x
    x = 56,962,435.71/8,184.81
  6. Step 6: Final answer
    x = 6,959.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.