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Finding the Fourth Proportional to 8,037.51, 12,074.79 and 7,705.37

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Solution

The fourth proportional to 8,037.51, 12,074.79 and 7,705.37 is: 11,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.51 : 12,074.79 = 7,705.37 : x
  2. Step 2: Convert to fraction form
    8,037.51/12,074.79 = 7,705.37/x
  3. Step 3: Cross multiply
    8,037.51x = 12,074.79 × 7,705.37
  4. Step 4: Simplify right side
    8,037.51x = 93,040,693.14
  5. Step 5: Solve for x
    x = 93,040,693.14/8,037.51
  6. Step 6: Final answer
    x = 11,575.81

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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.