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Finding the Fourth Proportional to 10,015.76, 13,821.36 and 5,824.02

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Solution

The fourth proportional to 10,015.76, 13,821.36 and 5,824.02 is: 8,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.76 : 13,821.36 = 5,824.02 : x
  2. Step 2: Convert to fraction form
    10,015.76/13,821.36 = 5,824.02/x
  3. Step 3: Cross multiply
    10,015.76x = 13,821.36 × 5,824.02
  4. Step 4: Simplify right side
    10,015.76x = 80,495,877.07
  5. Step 5: Solve for x
    x = 80,495,877.07/10,015.76
  6. Step 6: Final answer
    x = 8,036.92

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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.