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Finding the Fourth Proportional to 7,864.41, 10,853.94 and 7,200.07

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Solution

The fourth proportional to 7,864.41, 10,853.94 and 7,200.07 is: 9,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.41 : 10,853.94 = 7,200.07 : x
  2. Step 2: Convert to fraction form
    7,864.41/10,853.94 = 7,200.07/x
  3. Step 3: Cross multiply
    7,864.41x = 10,853.94 × 7,200.07
  4. Step 4: Simplify right side
    7,864.41x = 78,149,127.78
  5. Step 5: Solve for x
    x = 78,149,127.78/7,864.41
  6. Step 6: Final answer
    x = 9,937.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.