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Finding the Fourth Proportional to 8,889.84, 12,270.34 and 5,530.74

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Solution

The fourth proportional to 8,889.84, 12,270.34 and 5,530.74 is: 7,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,889.84 : 12,270.34 = 5,530.74 : x
  2. Step 2: Convert to fraction form
    8,889.84/12,270.34 = 5,530.74/x
  3. Step 3: Cross multiply
    8,889.84x = 12,270.34 × 5,530.74
  4. Step 4: Simplify right side
    8,889.84x = 67,864,060.25
  5. Step 5: Solve for x
    x = 67,864,060.25/8,889.84
  6. Step 6: Final answer
    x = 7,633.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.