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Finding the Fourth Proportional to 10,037.12, 13,851 and 5,560.88

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Solution

The fourth proportional to 10,037.12, 13,851 and 5,560.88 is: 7,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.12 : 13,851 = 5,560.88 : x
  2. Step 2: Convert to fraction form
    10,037.12/13,851 = 5,560.88/x
  3. Step 3: Cross multiply
    10,037.12x = 13,851 × 5,560.88
  4. Step 4: Simplify right side
    10,037.12x = 77,023,748.88
  5. Step 5: Solve for x
    x = 77,023,748.88/10,037.12
  6. Step 6: Final answer
    x = 7,673.89

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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.