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Finding the Fourth Proportional to 10,015.22, 13,823.80 and 5,824.28

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Solution

The fourth proportional to 10,015.22, 13,823.80 and 5,824.28 is: 8,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.22 : 13,823.80 = 5,824.28 : x
  2. Step 2: Convert to fraction form
    10,015.22/13,823.80 = 5,824.28/x
  3. Step 3: Cross multiply
    10,015.22x = 13,823.80 × 5,824.28
  4. Step 4: Simplify right side
    10,015.22x = 80,513,681.86
  5. Step 5: Solve for x
    x = 80,513,681.86/10,015.22
  6. Step 6: Final answer
    x = 8,039.13

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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.