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Finding the Fourth Proportional to 6,944, 10,417.12 and 4,766.72

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Solution

The fourth proportional to 6,944, 10,417.12 and 4,766.72 is: 7,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944 : 10,417.12 = 4,766.72 : x
  2. Step 2: Convert to fraction form
    6,944/10,417.12 = 4,766.72/x
  3. Step 3: Cross multiply
    6,944x = 10,417.12 × 4,766.72
  4. Step 4: Simplify right side
    6,944x = 49,655,494.25
  5. Step 5: Solve for x
    x = 49,655,494.25/6,944
  6. Step 6: Final answer
    x = 7,150.85

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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.