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Finding the Fourth Proportional to 7,658.28, 11,482.05 and 3,911.20

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Solution

The fourth proportional to 7,658.28, 11,482.05 and 3,911.20 is: 5,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.28 : 11,482.05 = 3,911.20 : x
  2. Step 2: Convert to fraction form
    7,658.28/11,482.05 = 3,911.20/x
  3. Step 3: Cross multiply
    7,658.28x = 11,482.05 × 3,911.20
  4. Step 4: Simplify right side
    7,658.28x = 44,908,596.07
  5. Step 5: Solve for x
    x = 44,908,596.07/7,658.28
  6. Step 6: Final answer
    x = 5,864.06

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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.