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Finding the Fourth Proportional to 7,282.15, 10,934.16 and 4,165.67

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Solution

The fourth proportional to 7,282.15, 10,934.16 and 4,165.67 is: 6,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.15 : 10,934.16 = 4,165.67 : x
  2. Step 2: Convert to fraction form
    7,282.15/10,934.16 = 4,165.67/x
  3. Step 3: Cross multiply
    7,282.15x = 10,934.16 × 4,165.67
  4. Step 4: Simplify right side
    7,282.15x = 45,548,102.29
  5. Step 5: Solve for x
    x = 45,548,102.29/7,282.15
  6. Step 6: Final answer
    x = 6,254.76

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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.