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Finding the Fourth Proportional to 6,684.76, 10,029.30 and 2,302.12

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Solution

The fourth proportional to 6,684.76, 10,029.30 and 2,302.12 is: 3,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.76 : 10,029.30 = 2,302.12 : x
  2. Step 2: Convert to fraction form
    6,684.76/10,029.30 = 2,302.12/x
  3. Step 3: Cross multiply
    6,684.76x = 10,029.30 × 2,302.12
  4. Step 4: Simplify right side
    6,684.76x = 23,088,652.12
  5. Step 5: Solve for x
    x = 23,088,652.12/6,684.76
  6. Step 6: Final answer
    x = 3,453.92

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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.