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Finding the Fourth Proportional to 6,944.08, 10,401.54 and 4,742.50

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Solution

The fourth proportional to 6,944.08, 10,401.54 and 4,742.50 is: 7,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.08 : 10,401.54 = 4,742.50 : x
  2. Step 2: Convert to fraction form
    6,944.08/10,401.54 = 4,742.50/x
  3. Step 3: Cross multiply
    6,944.08x = 10,401.54 × 4,742.50
  4. Step 4: Simplify right side
    6,944.08x = 49,329,303.45
  5. Step 5: Solve for x
    x = 49,329,303.45/6,944.08
  6. Step 6: Final answer
    x = 7,103.79

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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.