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Finding the Fourth Proportional to 7,864.47, 10,857.48 and 5,215.50

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Solution

The fourth proportional to 7,864.47, 10,857.48 and 5,215.50 is: 7,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.47 : 10,857.48 = 5,215.50 : x
  2. Step 2: Convert to fraction form
    7,864.47/10,857.48 = 5,215.50/x
  3. Step 3: Cross multiply
    7,864.47x = 10,857.48 × 5,215.50
  4. Step 4: Simplify right side
    7,864.47x = 56,627,186.94
  5. Step 5: Solve for x
    x = 56,627,186.94/7,864.47
  6. Step 6: Final answer
    x = 7,200.38

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Why These Related Problems?

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