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Finding the Fourth Proportional to 10,663.19, 14,715.51 and 5,947.78

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Solution

The fourth proportional to 10,663.19, 14,715.51 and 5,947.78 is: 8,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.19 : 14,715.51 = 5,947.78 : x
  2. Step 2: Convert to fraction form
    10,663.19/14,715.51 = 5,947.78/x
  3. Step 3: Cross multiply
    10,663.19x = 14,715.51 × 5,947.78
  4. Step 4: Simplify right side
    10,663.19x = 87,524,616.07
  5. Step 5: Solve for x
    x = 87,524,616.07/10,663.19
  6. Step 6: Final answer
    x = 8,208.11

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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.