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Finding the Fourth Proportional to 7,958.38, 10,981.64 and 4,421.02

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Solution

The fourth proportional to 7,958.38, 10,981.64 and 4,421.02 is: 6,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.38 : 10,981.64 = 4,421.02 : x
  2. Step 2: Convert to fraction form
    7,958.38/10,981.64 = 4,421.02/x
  3. Step 3: Cross multiply
    7,958.38x = 10,981.64 × 4,421.02
  4. Step 4: Simplify right side
    7,958.38x = 48,550,050.07
  5. Step 5: Solve for x
    x = 48,550,050.07/7,958.38
  6. Step 6: Final answer
    x = 6,100.49

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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.