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Finding the Fourth Proportional to 11,006.35, 16,509.56 and 7,734.08

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Solution

The fourth proportional to 11,006.35, 16,509.56 and 7,734.08 is: 11,601.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.35 : 16,509.56 = 7,734.08 : x
  2. Step 2: Convert to fraction form
    11,006.35/16,509.56 = 7,734.08/x
  3. Step 3: Cross multiply
    11,006.35x = 16,509.56 × 7,734.08
  4. Step 4: Simplify right side
    11,006.35x = 127,686,260.41
  5. Step 5: Solve for x
    x = 127,686,260.41/11,006.35
  6. Step 6: Final answer
    x = 11,601.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.