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Finding the Fourth Proportional to 5,311.73, 7,967.40 and 1,416.11

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Solution

The fourth proportional to 5,311.73, 7,967.40 and 1,416.11 is: 2,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.73 : 7,967.40 = 1,416.11 : x
  2. Step 2: Convert to fraction form
    5,311.73/7,967.40 = 1,416.11/x
  3. Step 3: Cross multiply
    5,311.73x = 7,967.40 × 1,416.11
  4. Step 4: Simplify right side
    5,311.73x = 11,282,669.67
  5. Step 5: Solve for x
    x = 11,282,669.67/5,311.73
  6. Step 6: Final answer
    x = 2,124.10

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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.