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Finding the Fourth Proportional to 12,707.89, 19,059.10 and 6,461.27

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Solution

The fourth proportional to 12,707.89, 19,059.10 and 6,461.27 is: 9,690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.89 : 19,059.10 = 6,461.27 : x
  2. Step 2: Convert to fraction form
    12,707.89/19,059.10 = 6,461.27/x
  3. Step 3: Cross multiply
    12,707.89x = 19,059.10 × 6,461.27
  4. Step 4: Simplify right side
    12,707.89x = 123,145,951.08
  5. Step 5: Solve for x
    x = 123,145,951.08/12,707.89
  6. Step 6: Final answer
    x = 9,690.51

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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.