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Finding the Fourth Proportional to 26,461.79, 39,681.14 and 7,741.42

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Solution

The fourth proportional to 26,461.79, 39,681.14 and 7,741.42 is: 11,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,461.79 : 39,681.14 = 7,741.42 : x
  2. Step 2: Convert to fraction form
    26,461.79/39,681.14 = 7,741.42/x
  3. Step 3: Cross multiply
    26,461.79x = 39,681.14 × 7,741.42
  4. Step 4: Simplify right side
    26,461.79x = 307,188,499.66
  5. Step 5: Solve for x
    x = 307,188,499.66/26,461.79
  6. Step 6: Final answer
    x = 11,608.76

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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.