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Finding the Fourth Proportional to 8,107.86, 11,188.36 and 4,704.61

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Solution

The fourth proportional to 8,107.86, 11,188.36 and 4,704.61 is: 6,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.86 : 11,188.36 = 4,704.61 : x
  2. Step 2: Convert to fraction form
    8,107.86/11,188.36 = 4,704.61/x
  3. Step 3: Cross multiply
    8,107.86x = 11,188.36 × 4,704.61
  4. Step 4: Simplify right side
    8,107.86x = 52,636,854.13
  5. Step 5: Solve for x
    x = 52,636,854.13/8,107.86
  6. Step 6: Final answer
    x = 6,492.08

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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.