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Finding the Fourth Proportional to 7,064.64, 10,593.36 and 2,678.76

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Solution

The fourth proportional to 7,064.64, 10,593.36 and 2,678.76 is: 4,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.64 : 10,593.36 = 2,678.76 : x
  2. Step 2: Convert to fraction form
    7,064.64/10,593.36 = 2,678.76/x
  3. Step 3: Cross multiply
    7,064.64x = 10,593.36 × 2,678.76
  4. Step 4: Simplify right side
    7,064.64x = 28,377,069.03
  5. Step 5: Solve for x
    x = 28,377,069.03/7,064.64
  6. Step 6: Final answer
    x = 4,016.77

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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.