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Finding the Fourth Proportional to 6,952.17, 10,425.63 and 2,271.07

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Solution

The fourth proportional to 6,952.17, 10,425.63 and 2,271.07 is: 3,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.17 : 10,425.63 = 2,271.07 : x
  2. Step 2: Convert to fraction form
    6,952.17/10,425.63 = 2,271.07/x
  3. Step 3: Cross multiply
    6,952.17x = 10,425.63 × 2,271.07
  4. Step 4: Simplify right side
    6,952.17x = 23,677,335.52
  5. Step 5: Solve for x
    x = 23,677,335.52/6,952.17
  6. Step 6: Final answer
    x = 3,405.75

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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.