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Finding the Fourth Proportional to 11,660.88, 16,079.04 and 9,138.48

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Solution

The fourth proportional to 11,660.88, 16,079.04 and 9,138.48 is: 12,600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.88 : 16,079.04 = 9,138.48 : x
  2. Step 2: Convert to fraction form
    11,660.88/16,079.04 = 9,138.48/x
  3. Step 3: Cross multiply
    11,660.88x = 16,079.04 × 9,138.48
  4. Step 4: Simplify right side
    11,660.88x = 146,937,985.46
  5. Step 5: Solve for x
    x = 146,937,985.46/11,660.88
  6. Step 6: Final answer
    x = 12,600.93

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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.