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Finding the Fourth Proportional to 11,616.66, 16,042.05 and 11,592.90

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Solution

The fourth proportional to 11,616.66, 16,042.05 and 11,592.90 is: 16,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.66 : 16,042.05 = 11,592.90 : x
  2. Step 2: Convert to fraction form
    11,616.66/16,042.05 = 11,592.90/x
  3. Step 3: Cross multiply
    11,616.66x = 16,042.05 × 11,592.90
  4. Step 4: Simplify right side
    11,616.66x = 185,973,881.45
  5. Step 5: Solve for x
    x = 185,973,881.45/11,616.66
  6. Step 6: Final answer
    x = 16,009.24

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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.