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Finding the Fourth Proportional to 8,367.94, 11,547.75 and 4,642.66

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Solution

The fourth proportional to 8,367.94, 11,547.75 and 4,642.66 is: 6,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.94 : 11,547.75 = 4,642.66 : x
  2. Step 2: Convert to fraction form
    8,367.94/11,547.75 = 4,642.66/x
  3. Step 3: Cross multiply
    8,367.94x = 11,547.75 × 4,642.66
  4. Step 4: Simplify right side
    8,367.94x = 53,612,265.56
  5. Step 5: Solve for x
    x = 53,612,265.56/8,367.94
  6. Step 6: Final answer
    x = 6,406.87

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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.