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Finding the Fourth Proportional to 7,146.66, 10,708.26 and 6,873.30

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Solution

The fourth proportional to 7,146.66, 10,708.26 and 6,873.30 is: 10,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.66 : 10,708.26 = 6,873.30 : x
  2. Step 2: Convert to fraction form
    7,146.66/10,708.26 = 6,873.30/x
  3. Step 3: Cross multiply
    7,146.66x = 10,708.26 × 6,873.30
  4. Step 4: Simplify right side
    7,146.66x = 73,601,083.46
  5. Step 5: Solve for x
    x = 73,601,083.46/7,146.66
  6. Step 6: Final answer
    x = 10,298.67

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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.