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Finding the Fourth Proportional to 7,742.88, 10,684.80 and 4,205.88

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Solution

The fourth proportional to 7,742.88, 10,684.80 and 4,205.88 is: 5,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.88 : 10,684.80 = 4,205.88 : x
  2. Step 2: Convert to fraction form
    7,742.88/10,684.80 = 4,205.88/x
  3. Step 3: Cross multiply
    7,742.88x = 10,684.80 × 4,205.88
  4. Step 4: Simplify right side
    7,742.88x = 44,938,986.62
  5. Step 5: Solve for x
    x = 44,938,986.62/7,742.88
  6. Step 6: Final answer
    x = 5,803.91

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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.