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Finding the Fourth Proportional to 11,713.71, 17,572.65 and 5,144.51

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Solution

The fourth proportional to 11,713.71, 17,572.65 and 5,144.51 is: 7,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.71 : 17,572.65 = 5,144.51 : x
  2. Step 2: Convert to fraction form
    11,713.71/17,572.65 = 5,144.51/x
  3. Step 3: Cross multiply
    11,713.71x = 17,572.65 × 5,144.51
  4. Step 4: Simplify right side
    11,713.71x = 90,402,698.29
  5. Step 5: Solve for x
    x = 90,402,698.29/11,713.71
  6. Step 6: Final answer
    x = 7,717.68

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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.