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Finding the Fourth Proportional to 10,522.48, 14,508.12 and 8,525.68

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Solution

The fourth proportional to 10,522.48, 14,508.12 and 8,525.68 is: 11,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.48 : 14,508.12 = 8,525.68 : x
  2. Step 2: Convert to fraction form
    10,522.48/14,508.12 = 8,525.68/x
  3. Step 3: Cross multiply
    10,522.48x = 14,508.12 × 8,525.68
  4. Step 4: Simplify right side
    10,522.48x = 123,691,588.52
  5. Step 5: Solve for x
    x = 123,691,588.52/10,522.48
  6. Step 6: Final answer
    x = 11,754.98

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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.