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Finding the Fourth Proportional to 7,444.41, 10,274.55 and 4,302.42

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Solution

The fourth proportional to 7,444.41, 10,274.55 and 4,302.42 is: 5,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.41 : 10,274.55 = 4,302.42 : x
  2. Step 2: Convert to fraction form
    7,444.41/10,274.55 = 4,302.42/x
  3. Step 3: Cross multiply
    7,444.41x = 10,274.55 × 4,302.42
  4. Step 4: Simplify right side
    7,444.41x = 44,205,374.75
  5. Step 5: Solve for x
    x = 44,205,374.75/7,444.41
  6. Step 6: Final answer
    x = 5,938.07

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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.