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Finding the Fourth Proportional to 7,422.84, 10,241.64 and 4,278.42

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Solution

The fourth proportional to 7,422.84, 10,241.64 and 4,278.42 is: 5,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.84 : 10,241.64 = 4,278.42 : x
  2. Step 2: Convert to fraction form
    7,422.84/10,241.64 = 4,278.42/x
  3. Step 3: Cross multiply
    7,422.84x = 10,241.64 × 4,278.42
  4. Step 4: Simplify right side
    7,422.84x = 43,818,037.41
  5. Step 5: Solve for x
    x = 43,818,037.41/7,422.84
  6. Step 6: Final answer
    x = 5,903.14

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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.