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Finding the Fourth Proportional to 11,009.52, 16,515.32 and 3,614.00

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Solution

The fourth proportional to 11,009.52, 16,515.32 and 3,614.00 is: 5,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.52 : 16,515.32 = 3,614.00 : x
  2. Step 2: Convert to fraction form
    11,009.52/16,515.32 = 3,614.00/x
  3. Step 3: Cross multiply
    11,009.52x = 16,515.32 × 3,614.00
  4. Step 4: Simplify right side
    11,009.52x = 59,686,265.83
  5. Step 5: Solve for x
    x = 59,686,265.83/11,009.52
  6. Step 6: Final answer
    x = 5,421.33

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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.