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Finding the Fourth Proportional to 8,298.48, 12,448.96 and 3,033.76

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Solution

The fourth proportional to 8,298.48, 12,448.96 and 3,033.76 is: 4,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.48 : 12,448.96 = 3,033.76 : x
  2. Step 2: Convert to fraction form
    8,298.48/12,448.96 = 3,033.76/x
  3. Step 3: Cross multiply
    8,298.48x = 12,448.96 × 3,033.76
  4. Step 4: Simplify right side
    8,298.48x = 37,767,156.89
  5. Step 5: Solve for x
    x = 37,767,156.89/8,298.48
  6. Step 6: Final answer
    x = 4,551.09

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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.