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Finding the Fourth Proportional to 10,359.41, 14,295.98 and 5,643.69

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Solution

The fourth proportional to 10,359.41, 14,295.98 and 5,643.69 is: 7,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.41 : 14,295.98 = 5,643.69 : x
  2. Step 2: Convert to fraction form
    10,359.41/14,295.98 = 5,643.69/x
  3. Step 3: Cross multiply
    10,359.41x = 14,295.98 × 5,643.69
  4. Step 4: Simplify right side
    10,359.41x = 80,682,039.87
  5. Step 5: Solve for x
    x = 80,682,039.87/10,359.41
  6. Step 6: Final answer
    x = 7,788.29

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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.