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Finding the Fourth Proportional to 7,946.96, 11,920.48 and 2,400.32

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Solution

The fourth proportional to 7,946.96, 11,920.48 and 2,400.32 is: 3,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.96 : 11,920.48 = 2,400.32 : x
  2. Step 2: Convert to fraction form
    7,946.96/11,920.48 = 2,400.32/x
  3. Step 3: Cross multiply
    7,946.96x = 11,920.48 × 2,400.32
  4. Step 4: Simplify right side
    7,946.96x = 28,612,966.55
  5. Step 5: Solve for x
    x = 28,612,966.55/7,946.96
  6. Step 6: Final answer
    x = 3,600.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.