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Finding the Fourth Proportional to 7,390.16, 10,198.16 and 4,033

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Solution

The fourth proportional to 7,390.16, 10,198.16 and 4,033 is: 5,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.16 : 10,198.16 = 4,033 : x
  2. Step 2: Convert to fraction form
    7,390.16/10,198.16 = 4,033/x
  3. Step 3: Cross multiply
    7,390.16x = 10,198.16 × 4,033
  4. Step 4: Simplify right side
    7,390.16x = 41,129,179.28
  5. Step 5: Solve for x
    x = 41,129,179.28/7,390.16
  6. Step 6: Final answer
    x = 5,565.40

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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.