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Finding the Fourth Proportional to 7,322.78, 10,985.27 and 2,127.98

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Solution

The fourth proportional to 7,322.78, 10,985.27 and 2,127.98 is: 3,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.78 : 10,985.27 = 2,127.98 : x
  2. Step 2: Convert to fraction form
    7,322.78/10,985.27 = 2,127.98/x
  3. Step 3: Cross multiply
    7,322.78x = 10,985.27 × 2,127.98
  4. Step 4: Simplify right side
    7,322.78x = 23,376,434.85
  5. Step 5: Solve for x
    x = 23,376,434.85/7,322.78
  6. Step 6: Final answer
    x = 3,192.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.