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Finding the Fourth Proportional to 10,887.12, 16,314.92 and 7,506.45

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Solution

The fourth proportional to 10,887.12, 16,314.92 and 7,506.45 is: 11,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,887.12 : 16,314.92 = 7,506.45 : x
  2. Step 2: Convert to fraction form
    10,887.12/16,314.92 = 7,506.45/x
  3. Step 3: Cross multiply
    10,887.12x = 16,314.92 × 7,506.45
  4. Step 4: Simplify right side
    10,887.12x = 122,467,131.23
  5. Step 5: Solve for x
    x = 122,467,131.23/10,887.12
  6. Step 6: Final answer
    x = 11,248.81

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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.