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Finding the Fourth Proportional to 7,903.83, 11,838.30 and 5,122.11

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Solution

The fourth proportional to 7,903.83, 11,838.30 and 5,122.11 is: 7,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.83 : 11,838.30 = 5,122.11 : x
  2. Step 2: Convert to fraction form
    7,903.83/11,838.30 = 5,122.11/x
  3. Step 3: Cross multiply
    7,903.83x = 11,838.30 × 5,122.11
  4. Step 4: Simplify right side
    7,903.83x = 60,637,074.81
  5. Step 5: Solve for x
    x = 60,637,074.81/7,903.83
  6. Step 6: Final answer
    x = 7,671.86

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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.