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Finding the Fourth Proportional to 7,838.11, 11,754.20 and 3,156.53

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Solution

The fourth proportional to 7,838.11, 11,754.20 and 3,156.53 is: 4,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.11 : 11,754.20 = 3,156.53 : x
  2. Step 2: Convert to fraction form
    7,838.11/11,754.20 = 3,156.53/x
  3. Step 3: Cross multiply
    7,838.11x = 11,754.20 × 3,156.53
  4. Step 4: Simplify right side
    7,838.11x = 37,102,484.93
  5. Step 5: Solve for x
    x = 37,102,484.93/7,838.11
  6. Step 6: Final answer
    x = 4,733.60

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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.