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Finding the Fourth Proportional to 8,428.50, 12,648.51 and 2,956.50

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Solution

The fourth proportional to 8,428.50, 12,648.51 and 2,956.50 is: 4,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.50 : 12,648.51 = 2,956.50 : x
  2. Step 2: Convert to fraction form
    8,428.50/12,648.51 = 2,956.50/x
  3. Step 3: Cross multiply
    8,428.50x = 12,648.51 × 2,956.50
  4. Step 4: Simplify right side
    8,428.50x = 37,395,319.82
  5. Step 5: Solve for x
    x = 37,395,319.82/8,428.50
  6. Step 6: Final answer
    x = 4,436.77

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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.