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Finding the Fourth Proportional to 8,277.34, 12,416.82 and 3,013.75

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Solution

The fourth proportional to 8,277.34, 12,416.82 and 3,013.75 is: 4,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.34 : 12,416.82 = 3,013.75 : x
  2. Step 2: Convert to fraction form
    8,277.34/12,416.82 = 3,013.75/x
  3. Step 3: Cross multiply
    8,277.34x = 12,416.82 × 3,013.75
  4. Step 4: Simplify right side
    8,277.34x = 37,421,191.28
  5. Step 5: Solve for x
    x = 37,421,191.28/8,277.34
  6. Step 6: Final answer
    x = 4,520.92

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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.