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Finding the Fourth Proportional to 7,678.80, 11,515.32 and 3,294

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Solution

The fourth proportional to 7,678.80, 11,515.32 and 3,294 is: 4,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.80 : 11,515.32 = 3,294 : x
  2. Step 2: Convert to fraction form
    7,678.80/11,515.32 = 3,294/x
  3. Step 3: Cross multiply
    7,678.80x = 11,515.32 × 3,294
  4. Step 4: Simplify right side
    7,678.80x = 37,931,464.08
  5. Step 5: Solve for x
    x = 37,931,464.08/7,678.80
  6. Step 6: Final answer
    x = 4,939.76

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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.