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Finding the Fourth Proportional to 11,658.15, 16,094.57 and 8,947.35

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Solution

The fourth proportional to 11,658.15, 16,094.57 and 8,947.35 is: 12,352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.15 : 16,094.57 = 8,947.35 : x
  2. Step 2: Convert to fraction form
    11,658.15/16,094.57 = 8,947.35/x
  3. Step 3: Cross multiply
    11,658.15x = 16,094.57 × 8,947.35
  4. Step 4: Simplify right side
    11,658.15x = 144,003,706.15
  5. Step 5: Solve for x
    x = 144,003,706.15/11,658.15
  6. Step 6: Final answer
    x = 12,352.19

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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.