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Finding the Fourth Proportional to 7,952.31, 10,973.68 and 4,968

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Solution

The fourth proportional to 7,952.31, 10,973.68 and 4,968 is: 6,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.31 : 10,973.68 = 4,968 : x
  2. Step 2: Convert to fraction form
    7,952.31/10,973.68 = 4,968/x
  3. Step 3: Cross multiply
    7,952.31x = 10,973.68 × 4,968
  4. Step 4: Simplify right side
    7,952.31x = 54,517,229.82
  5. Step 5: Solve for x
    x = 54,517,229.82/7,952.31
  6. Step 6: Final answer
    x = 6,855.52

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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.