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Finding the Fourth Proportional to 11,705.85, 16,152.31 and 6,601.14

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Solution

The fourth proportional to 11,705.85, 16,152.31 and 6,601.14 is: 9,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.85 : 16,152.31 = 6,601.14 : x
  2. Step 2: Convert to fraction form
    11,705.85/16,152.31 = 6,601.14/x
  3. Step 3: Cross multiply
    11,705.85x = 16,152.31 × 6,601.14
  4. Step 4: Simplify right side
    11,705.85x = 106,623,659.63
  5. Step 5: Solve for x
    x = 106,623,659.63/11,705.85
  6. Step 6: Final answer
    x = 9,108.58

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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.