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Finding the Fourth Proportional to 11,707.34, 17,570.22 and 5,138.06

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Solution

The fourth proportional to 11,707.34, 17,570.22 and 5,138.06 is: 7,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.34 : 17,570.22 = 5,138.06 : x
  2. Step 2: Convert to fraction form
    11,707.34/17,570.22 = 5,138.06/x
  3. Step 3: Cross multiply
    11,707.34x = 17,570.22 × 5,138.06
  4. Step 4: Simplify right side
    11,707.34x = 90,276,844.57
  5. Step 5: Solve for x
    x = 90,276,844.57/11,707.34
  6. Step 6: Final answer
    x = 7,711.13

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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.