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Finding the Fourth Proportional to 7,862.13, 11,798.06 and 5,777.01

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Solution

The fourth proportional to 7,862.13, 11,798.06 and 5,777.01 is: 8,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.13 : 11,798.06 = 5,777.01 : x
  2. Step 2: Convert to fraction form
    7,862.13/11,798.06 = 5,777.01/x
  3. Step 3: Cross multiply
    7,862.13x = 11,798.06 × 5,777.01
  4. Step 4: Simplify right side
    7,862.13x = 68,157,481.72
  5. Step 5: Solve for x
    x = 68,157,481.72/7,862.13
  6. Step 6: Final answer
    x = 8,669.09

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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.