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Finding the Fourth Proportional to 10,382.86, 14,328.93 and 5,667.22

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Solution

The fourth proportional to 10,382.86, 14,328.93 and 5,667.22 is: 7,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.86 : 14,328.93 = 5,667.22 : x
  2. Step 2: Convert to fraction form
    10,382.86/14,328.93 = 5,667.22/x
  3. Step 3: Cross multiply
    10,382.86x = 14,328.93 × 5,667.22
  4. Step 4: Simplify right side
    10,382.86x = 81,205,198.67
  5. Step 5: Solve for x
    x = 81,205,198.67/10,382.86
  6. Step 6: Final answer
    x = 7,821.08

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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.