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Finding the Fourth Proportional to 8,277.76, 12,416.54 and 2,037.85

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Solution

The fourth proportional to 8,277.76, 12,416.54 and 2,037.85 is: 3,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.76 : 12,416.54 = 2,037.85 : x
  2. Step 2: Convert to fraction form
    8,277.76/12,416.54 = 2,037.85/x
  3. Step 3: Cross multiply
    8,277.76x = 12,416.54 × 2,037.85
  4. Step 4: Simplify right side
    8,277.76x = 25,303,035.85
  5. Step 5: Solve for x
    x = 25,303,035.85/8,277.76
  6. Step 6: Final answer
    x = 3,056.75

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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.