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Finding the Fourth Proportional to 7,801.24, 11,706.52 and 2,803.20

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Solution

The fourth proportional to 7,801.24, 11,706.52 and 2,803.20 is: 4,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.24 : 11,706.52 = 2,803.20 : x
  2. Step 2: Convert to fraction form
    7,801.24/11,706.52 = 2,803.20/x
  3. Step 3: Cross multiply
    7,801.24x = 11,706.52 × 2,803.20
  4. Step 4: Simplify right side
    7,801.24x = 32,815,716.86
  5. Step 5: Solve for x
    x = 32,815,716.86/7,801.24
  6. Step 6: Final answer
    x = 4,206.47

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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.