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Finding the Fourth Proportional to 6,944.88, 10,416.32 and 2,265.32

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Solution

The fourth proportional to 6,944.88, 10,416.32 and 2,265.32 is: 3,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.88 : 10,416.32 = 2,265.32 : x
  2. Step 2: Convert to fraction form
    6,944.88/10,416.32 = 2,265.32/x
  3. Step 3: Cross multiply
    6,944.88x = 10,416.32 × 2,265.32
  4. Step 4: Simplify right side
    6,944.88x = 23,596,298.02
  5. Step 5: Solve for x
    x = 23,596,298.02/6,944.88
  6. Step 6: Final answer
    x = 3,397.65

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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.