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Finding the Fourth Proportional to 10,688.03, 16,105 and 8,782.91

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Solution

The fourth proportional to 10,688.03, 16,105 and 8,782.91 is: 13,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.03 : 16,105 = 8,782.91 : x
  2. Step 2: Convert to fraction form
    10,688.03/16,105 = 8,782.91/x
  3. Step 3: Cross multiply
    10,688.03x = 16,105 × 8,782.91
  4. Step 4: Simplify right side
    10,688.03x = 141,448,765.55
  5. Step 5: Solve for x
    x = 141,448,765.55/10,688.03
  6. Step 6: Final answer
    x = 13,234.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.