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Finding the Fourth Proportional to 7,943.58, 10,966.98 and 4,962

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Solution

The fourth proportional to 7,943.58, 10,966.98 and 4,962 is: 6,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.58 : 10,966.98 = 4,962 : x
  2. Step 2: Convert to fraction form
    7,943.58/10,966.98 = 4,962/x
  3. Step 3: Cross multiply
    7,943.58x = 10,966.98 × 4,962
  4. Step 4: Simplify right side
    7,943.58x = 54,418,154.76
  5. Step 5: Solve for x
    x = 54,418,154.76/7,943.58
  6. Step 6: Final answer
    x = 6,850.58

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