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Finding the Fourth Proportional to 7,421.63, 10,241.84 and 4,278.42

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Solution

The fourth proportional to 7,421.63, 10,241.84 and 4,278.42 is: 5,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.63 : 10,241.84 = 4,278.42 : x
  2. Step 2: Convert to fraction form
    7,421.63/10,241.84 = 4,278.42/x
  3. Step 3: Cross multiply
    7,421.63x = 10,241.84 × 4,278.42
  4. Step 4: Simplify right side
    7,421.63x = 43,818,903.79
  5. Step 5: Solve for x
    x = 43,818,903.79/7,421.63
  6. Step 6: Final answer
    x = 5,904.22

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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.