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Finding the Fourth Proportional to 10,760.69, 14,847.12 and 6,281.87

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Solution

The fourth proportional to 10,760.69, 14,847.12 and 6,281.87 is: 8,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.69 : 14,847.12 = 6,281.87 : x
  2. Step 2: Convert to fraction form
    10,760.69/14,847.12 = 6,281.87/x
  3. Step 3: Cross multiply
    10,760.69x = 14,847.12 × 6,281.87
  4. Step 4: Simplify right side
    10,760.69x = 93,267,677.71
  5. Step 5: Solve for x
    x = 93,267,677.71/10,760.69
  6. Step 6: Final answer
    x = 8,667.44

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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.