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Finding the Fourth Proportional to 7,386, 10,192.68 and 4,074

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Solution

The fourth proportional to 7,386, 10,192.68 and 4,074 is: 5,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386 : 10,192.68 = 4,074 : x
  2. Step 2: Convert to fraction form
    7,386/10,192.68 = 4,074/x
  3. Step 3: Cross multiply
    7,386x = 10,192.68 × 4,074
  4. Step 4: Simplify right side
    7,386x = 41,524,978.32
  5. Step 5: Solve for x
    x = 41,524,978.32/7,386
  6. Step 6: Final answer
    x = 5,622.12

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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.