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Finding the Fourth Proportional to 7,914.16, 11,877.05 and 3,754.15

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Solution

The fourth proportional to 7,914.16, 11,877.05 and 3,754.15 is: 5,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.16 : 11,877.05 = 3,754.15 : x
  2. Step 2: Convert to fraction form
    7,914.16/11,877.05 = 3,754.15/x
  3. Step 3: Cross multiply
    7,914.16x = 11,877.05 × 3,754.15
  4. Step 4: Simplify right side
    7,914.16x = 44,588,227.26
  5. Step 5: Solve for x
    x = 44,588,227.26/7,914.16
  6. Step 6: Final answer
    x = 5,633.98

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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.