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Finding the Fourth Proportional to 11,502.70, 17,255.87 and 3,709.69

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Solution

The fourth proportional to 11,502.70, 17,255.87 and 3,709.69 is: 5,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.70 : 17,255.87 = 3,709.69 : x
  2. Step 2: Convert to fraction form
    11,502.70/17,255.87 = 3,709.69/x
  3. Step 3: Cross multiply
    11,502.70x = 17,255.87 × 3,709.69
  4. Step 4: Simplify right side
    11,502.70x = 64,013,894.51
  5. Step 5: Solve for x
    x = 64,013,894.51/11,502.70
  6. Step 6: Final answer
    x = 5,565.12

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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.