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Finding the Fourth Proportional to 10,037.70, 15,065.80 and 5,110.90

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Solution

The fourth proportional to 10,037.70, 15,065.80 and 5,110.90 is: 7,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.70 : 15,065.80 = 5,110.90 : x
  2. Step 2: Convert to fraction form
    10,037.70/15,065.80 = 5,110.90/x
  3. Step 3: Cross multiply
    10,037.70x = 15,065.80 × 5,110.90
  4. Step 4: Simplify right side
    10,037.70x = 76,999,797.22
  5. Step 5: Solve for x
    x = 76,999,797.22/10,037.70
  6. Step 6: Final answer
    x = 7,671.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.