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Finding the Fourth Proportional to 11,838.91, 17,746.02 and 4,816.11

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Solution

The fourth proportional to 11,838.91, 17,746.02 and 4,816.11 is: 7,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.91 : 17,746.02 = 4,816.11 : x
  2. Step 2: Convert to fraction form
    11,838.91/17,746.02 = 4,816.11/x
  3. Step 3: Cross multiply
    11,838.91x = 17,746.02 × 4,816.11
  4. Step 4: Simplify right side
    11,838.91x = 85,466,784.38
  5. Step 5: Solve for x
    x = 85,466,784.38/11,838.91
  6. Step 6: Final answer
    x = 7,219.14

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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.