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Finding the Fourth Proportional to 25,796.71, 38,695.11 and 7,077.00

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Solution

The fourth proportional to 25,796.71, 38,695.11 and 7,077.00 is: 10,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,796.71 : 38,695.11 = 7,077.00 : x
  2. Step 2: Convert to fraction form
    25,796.71/38,695.11 = 7,077.00/x
  3. Step 3: Cross multiply
    25,796.71x = 38,695.11 × 7,077.00
  4. Step 4: Simplify right side
    25,796.71x = 273,845,451.85
  5. Step 5: Solve for x
    x = 273,845,451.85/25,796.71
  6. Step 6: Final answer
    x = 10,615.52

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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.