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Finding the Fourth Proportional to 11,631.77, 16,058.42 and 8,901.18

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Solution

The fourth proportional to 11,631.77, 16,058.42 and 8,901.18 is: 12,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.77 : 16,058.42 = 8,901.18 : x
  2. Step 2: Convert to fraction form
    11,631.77/16,058.42 = 8,901.18/x
  3. Step 3: Cross multiply
    11,631.77x = 16,058.42 × 8,901.18
  4. Step 4: Simplify right side
    11,631.77x = 142,938,886.94
  5. Step 5: Solve for x
    x = 142,938,886.94/11,631.77
  6. Step 6: Final answer
    x = 12,288.66

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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.