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Finding the Fourth Proportional to 10,037.44, 13,845.72 and 6,056.20

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Solution

The fourth proportional to 10,037.44, 13,845.72 and 6,056.20 is: 8,353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.44 : 13,845.72 = 6,056.20 : x
  2. Step 2: Convert to fraction form
    10,037.44/13,845.72 = 6,056.20/x
  3. Step 3: Cross multiply
    10,037.44x = 13,845.72 × 6,056.20
  4. Step 4: Simplify right side
    10,037.44x = 83,852,449.46
  5. Step 5: Solve for x
    x = 83,852,449.46/10,037.44
  6. Step 6: Final answer
    x = 8,353.97

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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.