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Finding the Fourth Proportional to 10,715.66, 14,786.79 and 5,999.30

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Solution

The fourth proportional to 10,715.66, 14,786.79 and 5,999.30 is: 8,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.66 : 14,786.79 = 5,999.30 : x
  2. Step 2: Convert to fraction form
    10,715.66/14,786.79 = 5,999.30/x
  3. Step 3: Cross multiply
    10,715.66x = 14,786.79 × 5,999.30
  4. Step 4: Simplify right side
    10,715.66x = 88,710,389.25
  5. Step 5: Solve for x
    x = 88,710,389.25/10,715.66
  6. Step 6: Final answer
    x = 8,278.57

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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.