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Finding the Fourth Proportional to 7,384.86, 11,084.58 and 3,492

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Solution

The fourth proportional to 7,384.86, 11,084.58 and 3,492 is: 5,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.86 : 11,084.58 = 3,492 : x
  2. Step 2: Convert to fraction form
    7,384.86/11,084.58 = 3,492/x
  3. Step 3: Cross multiply
    7,384.86x = 11,084.58 × 3,492
  4. Step 4: Simplify right side
    7,384.86x = 38,707,353.36
  5. Step 5: Solve for x
    x = 38,707,353.36/7,384.86
  6. Step 6: Final answer
    x = 5,241.45

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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.