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Finding the Fourth Proportional to 7,803.86, 11,706.53 and 2,873.61

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Solution

The fourth proportional to 7,803.86, 11,706.53 and 2,873.61 is: 4,310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.86 : 11,706.53 = 2,873.61 : x
  2. Step 2: Convert to fraction form
    7,803.86/11,706.53 = 2,873.61/x
  3. Step 3: Cross multiply
    7,803.86x = 11,706.53 × 2,873.61
  4. Step 4: Simplify right side
    7,803.86x = 33,639,987.31
  5. Step 5: Solve for x
    x = 33,639,987.31/7,803.86
  6. Step 6: Final answer
    x = 4,310.69

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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.