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Finding the Fourth Proportional to 7,218.12, 9,970.38 and 5,333.88

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Solution

The fourth proportional to 7,218.12, 9,970.38 and 5,333.88 is: 7,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.12 : 9,970.38 = 5,333.88 : x
  2. Step 2: Convert to fraction form
    7,218.12/9,970.38 = 5,333.88/x
  3. Step 3: Cross multiply
    7,218.12x = 9,970.38 × 5,333.88
  4. Step 4: Simplify right side
    7,218.12x = 53,180,810.47
  5. Step 5: Solve for x
    x = 53,180,810.47/7,218.12
  6. Step 6: Final answer
    x = 7,367.68

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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.