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Finding the Fourth Proportional to 6,952.52, 10,427.66 and 2,021.12

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Solution

The fourth proportional to 6,952.52, 10,427.66 and 2,021.12 is: 3,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.52 : 10,427.66 = 2,021.12 : x
  2. Step 2: Convert to fraction form
    6,952.52/10,427.66 = 2,021.12/x
  3. Step 3: Cross multiply
    6,952.52x = 10,427.66 × 2,021.12
  4. Step 4: Simplify right side
    6,952.52x = 21,075,552.18
  5. Step 5: Solve for x
    x = 21,075,552.18/6,952.52
  6. Step 6: Final answer
    x = 3,031.35

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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.