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Finding the Fourth Proportional to 10,476.86, 15,696.81 and 5,535.59

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Solution

The fourth proportional to 10,476.86, 15,696.81 and 5,535.59 is: 8,293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.86 : 15,696.81 = 5,535.59 : x
  2. Step 2: Convert to fraction form
    10,476.86/15,696.81 = 5,535.59/x
  3. Step 3: Cross multiply
    10,476.86x = 15,696.81 × 5,535.59
  4. Step 4: Simplify right side
    10,476.86x = 86,891,025.98
  5. Step 5: Solve for x
    x = 86,891,025.98/10,476.86
  6. Step 6: Final answer
    x = 8,293.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.