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Finding the Fourth Proportional to 8,463.98, 11,681.73 and 5,107.07

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Solution

The fourth proportional to 8,463.98, 11,681.73 and 5,107.07 is: 7,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.98 : 11,681.73 = 5,107.07 : x
  2. Step 2: Convert to fraction form
    8,463.98/11,681.73 = 5,107.07/x
  3. Step 3: Cross multiply
    8,463.98x = 11,681.73 × 5,107.07
  4. Step 4: Simplify right side
    8,463.98x = 59,659,354.42
  5. Step 5: Solve for x
    x = 59,659,354.42/8,463.98
  6. Step 6: Final answer
    x = 7,048.62

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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.