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Finding the Fourth Proportional to 7,588.49, 11,388.62 and 5,264.80

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Solution

The fourth proportional to 7,588.49, 11,388.62 and 5,264.80 is: 7,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.49 : 11,388.62 = 5,264.80 : x
  2. Step 2: Convert to fraction form
    7,588.49/11,388.62 = 5,264.80/x
  3. Step 3: Cross multiply
    7,588.49x = 11,388.62 × 5,264.80
  4. Step 4: Simplify right side
    7,588.49x = 59,958,806.58
  5. Step 5: Solve for x
    x = 59,958,806.58/7,588.49
  6. Step 6: Final answer
    x = 7,901.28

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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.