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Finding the Fourth Proportional to 6,811.76, 10,176.23 and 4,326.68

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Solution

The fourth proportional to 6,811.76, 10,176.23 and 4,326.68 is: 6,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.76 : 10,176.23 = 4,326.68 : x
  2. Step 2: Convert to fraction form
    6,811.76/10,176.23 = 4,326.68/x
  3. Step 3: Cross multiply
    6,811.76x = 10,176.23 × 4,326.68
  4. Step 4: Simplify right side
    6,811.76x = 44,029,290.82
  5. Step 5: Solve for x
    x = 44,029,290.82/6,811.76
  6. Step 6: Final answer
    x = 6,463.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.