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Finding the Fourth Proportional to 10,838.40, 14,956.92 and 6,122.67

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Solution

The fourth proportional to 10,838.40, 14,956.92 and 6,122.67 is: 8,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.40 : 14,956.92 = 6,122.67 : x
  2. Step 2: Convert to fraction form
    10,838.40/14,956.92 = 6,122.67/x
  3. Step 3: Cross multiply
    10,838.40x = 14,956.92 × 6,122.67
  4. Step 4: Simplify right side
    10,838.40x = 91,576,285.38
  5. Step 5: Solve for x
    x = 91,576,285.38/10,838.40
  6. Step 6: Final answer
    x = 8,449.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.