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Finding the Fourth Proportional to 6,669.72, 10,003.14 and 3,158.22

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Solution

The fourth proportional to 6,669.72, 10,003.14 and 3,158.22 is: 4,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.72 : 10,003.14 = 3,158.22 : x
  2. Step 2: Convert to fraction form
    6,669.72/10,003.14 = 3,158.22/x
  3. Step 3: Cross multiply
    6,669.72x = 10,003.14 × 3,158.22
  4. Step 4: Simplify right side
    6,669.72x = 31,592,116.81
  5. Step 5: Solve for x
    x = 31,592,116.81/6,669.72
  6. Step 6: Final answer
    x = 4,736.65

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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.