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Finding the Fourth Proportional to 11,705.72, 16,152.76 and 6,669.56

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Solution

The fourth proportional to 11,705.72, 16,152.76 and 6,669.56 is: 9,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.72 : 16,152.76 = 6,669.56 : x
  2. Step 2: Convert to fraction form
    11,705.72/16,152.76 = 6,669.56/x
  3. Step 3: Cross multiply
    11,705.72x = 16,152.76 × 6,669.56
  4. Step 4: Simplify right side
    11,705.72x = 107,731,801.99
  5. Step 5: Solve for x
    x = 107,731,801.99/11,705.72
  6. Step 6: Final answer
    x = 9,203.35

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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.