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Finding the Fourth Proportional to 7,440.84, 10,267.20 and 4,296.42

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Solution

The fourth proportional to 7,440.84, 10,267.20 and 4,296.42 is: 5,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.84 : 10,267.20 = 4,296.42 : x
  2. Step 2: Convert to fraction form
    7,440.84/10,267.20 = 4,296.42/x
  3. Step 3: Cross multiply
    7,440.84x = 10,267.20 × 4,296.42
  4. Step 4: Simplify right side
    7,440.84x = 44,112,203.42
  5. Step 5: Solve for x
    x = 44,112,203.42/7,440.84
  6. Step 6: Final answer
    x = 5,928.39

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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.