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Finding the Fourth Proportional to 7,766.66, 10,719.78 and 4,742.81

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Solution

The fourth proportional to 7,766.66, 10,719.78 and 4,742.81 is: 6,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.66 : 10,719.78 = 4,742.81 : x
  2. Step 2: Convert to fraction form
    7,766.66/10,719.78 = 4,742.81/x
  3. Step 3: Cross multiply
    7,766.66x = 10,719.78 × 4,742.81
  4. Step 4: Simplify right side
    7,766.66x = 50,841,879.78
  5. Step 5: Solve for x
    x = 50,841,879.78/7,766.66
  6. Step 6: Final answer
    x = 6,546.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.