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Finding the Fourth Proportional to 7,838.58, 11,760.57 and 3,459.18

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Solution

The fourth proportional to 7,838.58, 11,760.57 and 3,459.18 is: 5,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.58 : 11,760.57 = 3,459.18 : x
  2. Step 2: Convert to fraction form
    7,838.58/11,760.57 = 3,459.18/x
  3. Step 3: Cross multiply
    7,838.58x = 11,760.57 × 3,459.18
  4. Step 4: Simplify right side
    7,838.58x = 40,681,928.53
  5. Step 5: Solve for x
    x = 40,681,928.53/7,838.58
  6. Step 6: Final answer
    x = 5,189.96

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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.