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Finding the Fourth Proportional to 7,423.72, 11,133.18 and 2,492.20

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Solution

The fourth proportional to 7,423.72, 11,133.18 and 2,492.20 is: 3,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.72 : 11,133.18 = 2,492.20 : x
  2. Step 2: Convert to fraction form
    7,423.72/11,133.18 = 2,492.20/x
  3. Step 3: Cross multiply
    7,423.72x = 11,133.18 × 2,492.20
  4. Step 4: Simplify right side
    7,423.72x = 27,746,111.20
  5. Step 5: Solve for x
    x = 27,746,111.20/7,423.72
  6. Step 6: Final answer
    x = 3,737.49

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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.