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Finding the Fourth Proportional to 8,288.84, 12,437.03 and 7,588.09

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Solution

The fourth proportional to 8,288.84, 12,437.03 and 7,588.09 is: 11,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.84 : 12,437.03 = 7,588.09 : x
  2. Step 2: Convert to fraction form
    8,288.84/12,437.03 = 7,588.09/x
  3. Step 3: Cross multiply
    8,288.84x = 12,437.03 × 7,588.09
  4. Step 4: Simplify right side
    8,288.84x = 94,373,233.94
  5. Step 5: Solve for x
    x = 94,373,233.94/8,288.84
  6. Step 6: Final answer
    x = 11,385.57

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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.