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Finding the Fourth Proportional to 7,386.72, 11,076.24 and 3,492

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Solution

The fourth proportional to 7,386.72, 11,076.24 and 3,492 is: 5,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.72 : 11,076.24 = 3,492 : x
  2. Step 2: Convert to fraction form
    7,386.72/11,076.24 = 3,492/x
  3. Step 3: Cross multiply
    7,386.72x = 11,076.24 × 3,492
  4. Step 4: Simplify right side
    7,386.72x = 38,678,230.08
  5. Step 5: Solve for x
    x = 38,678,230.08/7,386.72
  6. Step 6: Final answer
    x = 5,236.18

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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.