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Finding the Fourth Proportional to 7,331.68, 10,997.54 and 1,785.02

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Solution

The fourth proportional to 7,331.68, 10,997.54 and 1,785.02 is: 2,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.68 : 10,997.54 = 1,785.02 : x
  2. Step 2: Convert to fraction form
    7,331.68/10,997.54 = 1,785.02/x
  3. Step 3: Cross multiply
    7,331.68x = 10,997.54 × 1,785.02
  4. Step 4: Simplify right side
    7,331.68x = 19,630,828.85
  5. Step 5: Solve for x
    x = 19,630,828.85/7,331.68
  6. Step 6: Final answer
    x = 2,677.53

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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.