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Finding the Fourth Proportional to 11,617.60, 16,032.72 and 6,902.56

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Solution

The fourth proportional to 11,617.60, 16,032.72 and 6,902.56 is: 9,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.60 : 16,032.72 = 6,902.56 : x
  2. Step 2: Convert to fraction form
    11,617.60/16,032.72 = 6,902.56/x
  3. Step 3: Cross multiply
    11,617.60x = 16,032.72 × 6,902.56
  4. Step 4: Simplify right side
    11,617.60x = 110,666,811.76
  5. Step 5: Solve for x
    x = 110,666,811.76/11,617.60
  6. Step 6: Final answer
    x = 9,525.79

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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.