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Finding the Fourth Proportional to 7,230.02, 9,979.06 and 4,088.02

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Solution

The fourth proportional to 7,230.02, 9,979.06 and 4,088.02 is: 5,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.02 : 9,979.06 = 4,088.02 : x
  2. Step 2: Convert to fraction form
    7,230.02/9,979.06 = 4,088.02/x
  3. Step 3: Cross multiply
    7,230.02x = 9,979.06 × 4,088.02
  4. Step 4: Simplify right side
    7,230.02x = 40,794,596.86
  5. Step 5: Solve for x
    x = 40,794,596.86/7,230.02
  6. Step 6: Final answer
    x = 5,642.39

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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.