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Finding the Fourth Proportional to 8,326.67, 11,490.47 and 4,742.12

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Solution

The fourth proportional to 8,326.67, 11,490.47 and 4,742.12 is: 6,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.67 : 11,490.47 = 4,742.12 : x
  2. Step 2: Convert to fraction form
    8,326.67/11,490.47 = 4,742.12/x
  3. Step 3: Cross multiply
    8,326.67x = 11,490.47 × 4,742.12
  4. Step 4: Simplify right side
    8,326.67x = 54,489,118.29
  5. Step 5: Solve for x
    x = 54,489,118.29/8,326.67
  6. Step 6: Final answer
    x = 6,543.93

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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.