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Finding the Fourth Proportional to 10,378.92, 14,322.99 and 5,663.17

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Solution

The fourth proportional to 10,378.92, 14,322.99 and 5,663.17 is: 7,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.92 : 14,322.99 = 5,663.17 : x
  2. Step 2: Convert to fraction form
    10,378.92/14,322.99 = 5,663.17/x
  3. Step 3: Cross multiply
    10,378.92x = 14,322.99 × 5,663.17
  4. Step 4: Simplify right side
    10,378.92x = 81,113,527.28
  5. Step 5: Solve for x
    x = 81,113,527.28/10,378.92
  6. Step 6: Final answer
    x = 7,815.22

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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.