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Finding the Fourth Proportional to 10,037.99, 13,853.90 and 5,788.22

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Solution

The fourth proportional to 10,037.99, 13,853.90 and 5,788.22 is: 7,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.99 : 13,853.90 = 5,788.22 : x
  2. Step 2: Convert to fraction form
    10,037.99/13,853.90 = 5,788.22/x
  3. Step 3: Cross multiply
    10,037.99x = 13,853.90 × 5,788.22
  4. Step 4: Simplify right side
    10,037.99x = 80,189,322.85
  5. Step 5: Solve for x
    x = 80,189,322.85/10,037.99
  6. Step 6: Final answer
    x = 7,988.59

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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.