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Finding the Fourth Proportional to 7,143.06, 10,781.34 and 7,143.06

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Solution

The fourth proportional to 7,143.06, 10,781.34 and 7,143.06 is: 10,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.06 : 10,781.34 = 7,143.06 : x
  2. Step 2: Convert to fraction form
    7,143.06/10,781.34 = 7,143.06/x
  3. Step 3: Cross multiply
    7,143.06x = 10,781.34 × 7,143.06
  4. Step 4: Simplify right side
    7,143.06x = 77,011,758.50
  5. Step 5: Solve for x
    x = 77,011,758.50/7,143.06
  6. Step 6: Final answer
    x = 10,781.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.