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Finding the Fourth Proportional to 6,460.03, 8,912.12 and 4,065.76

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Solution

The fourth proportional to 6,460.03, 8,912.12 and 4,065.76 is: 5,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.03 : 8,912.12 = 4,065.76 : x
  2. Step 2: Convert to fraction form
    6,460.03/8,912.12 = 4,065.76/x
  3. Step 3: Cross multiply
    6,460.03x = 8,912.12 × 4,065.76
  4. Step 4: Simplify right side
    6,460.03x = 36,234,541.01
  5. Step 5: Solve for x
    x = 36,234,541.01/6,460.03
  6. Step 6: Final answer
    x = 5,609.04

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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.