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Finding the Fourth Proportional to 11,773.88, 16,232.08 and 10,088

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Solution

The fourth proportional to 11,773.88, 16,232.08 and 10,088 is: 13,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.88 : 16,232.08 = 10,088 : x
  2. Step 2: Convert to fraction form
    11,773.88/16,232.08 = 10,088/x
  3. Step 3: Cross multiply
    11,773.88x = 16,232.08 × 10,088
  4. Step 4: Simplify right side
    11,773.88x = 163,749,223.04
  5. Step 5: Solve for x
    x = 163,749,223.04/11,773.88
  6. Step 6: Final answer
    x = 13,907.84

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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.