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Finding the Fourth Proportional to 6,992.42, 10,492.81 and 2,612.95

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Solution

The fourth proportional to 6,992.42, 10,492.81 and 2,612.95 is: 3,920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.42 : 10,492.81 = 2,612.95 : x
  2. Step 2: Convert to fraction form
    6,992.42/10,492.81 = 2,612.95/x
  3. Step 3: Cross multiply
    6,992.42x = 10,492.81 × 2,612.95
  4. Step 4: Simplify right side
    6,992.42x = 27,417,155.13
  5. Step 5: Solve for x
    x = 27,417,155.13/6,992.42
  6. Step 6: Final answer
    x = 3,920.99

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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.