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Finding the Fourth Proportional to 7,380.95, 11,071.49 and 2,315.16

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Solution

The fourth proportional to 7,380.95, 11,071.49 and 2,315.16 is: 3,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.95 : 11,071.49 = 2,315.16 : x
  2. Step 2: Convert to fraction form
    7,380.95/11,071.49 = 2,315.16/x
  3. Step 3: Cross multiply
    7,380.95x = 11,071.49 × 2,315.16
  4. Step 4: Simplify right side
    7,380.95x = 25,632,259.21
  5. Step 5: Solve for x
    x = 25,632,259.21/7,380.95
  6. Step 6: Final answer
    x = 3,472.76

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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.