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Finding the Fourth Proportional to 10,015.64, 13,822.79 and 5,823.89

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Solution

The fourth proportional to 10,015.64, 13,822.79 and 5,823.89 is: 8,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.64 : 13,822.79 = 5,823.89 : x
  2. Step 2: Convert to fraction form
    10,015.64/13,822.79 = 5,823.89/x
  3. Step 3: Cross multiply
    10,015.64x = 13,822.79 × 5,823.89
  4. Step 4: Simplify right side
    10,015.64x = 80,502,379.33
  5. Step 5: Solve for x
    x = 80,502,379.33/10,015.64
  6. Step 6: Final answer
    x = 8,037.67

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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.