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Finding the Fourth Proportional to 8,007.09, 11,047.91 and 4,862.67

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Solution

The fourth proportional to 8,007.09, 11,047.91 and 4,862.67 is: 6,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.09 : 11,047.91 = 4,862.67 : x
  2. Step 2: Convert to fraction form
    8,007.09/11,047.91 = 4,862.67/x
  3. Step 3: Cross multiply
    8,007.09x = 11,047.91 × 4,862.67
  4. Step 4: Simplify right side
    8,007.09x = 53,722,316.21
  5. Step 5: Solve for x
    x = 53,722,316.21/8,007.09
  6. Step 6: Final answer
    x = 6,709.34

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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.