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Finding the Fourth Proportional to 10,786.50, 14,885.07 and 6,006.48

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Solution

The fourth proportional to 10,786.50, 14,885.07 and 6,006.48 is: 8,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.50 : 14,885.07 = 6,006.48 : x
  2. Step 2: Convert to fraction form
    10,786.50/14,885.07 = 6,006.48/x
  3. Step 3: Cross multiply
    10,786.50x = 14,885.07 × 6,006.48
  4. Step 4: Simplify right side
    10,786.50x = 89,406,875.25
  5. Step 5: Solve for x
    x = 89,406,875.25/10,786.50
  6. Step 6: Final answer
    x = 8,288.78

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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.