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Finding the Fourth Proportional to 11,510.21, 17,277.17 and 7,138.04

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Solution

The fourth proportional to 11,510.21, 17,277.17 and 7,138.04 is: 10,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.21 : 17,277.17 = 7,138.04 : x
  2. Step 2: Convert to fraction form
    11,510.21/17,277.17 = 7,138.04/x
  3. Step 3: Cross multiply
    11,510.21x = 17,277.17 × 7,138.04
  4. Step 4: Simplify right side
    11,510.21x = 123,325,008.47
  5. Step 5: Solve for x
    x = 123,325,008.47/11,510.21
  6. Step 6: Final answer
    x = 10,714.40

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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.