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Finding the Fourth Proportional to 26,275.32, 39,408.66 and 7,803

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Solution

The fourth proportional to 26,275.32, 39,408.66 and 7,803 is: 11,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,275.32 : 39,408.66 = 7,803 : x
  2. Step 2: Convert to fraction form
    26,275.32/39,408.66 = 7,803/x
  3. Step 3: Cross multiply
    26,275.32x = 39,408.66 × 7,803
  4. Step 4: Simplify right side
    26,275.32x = 307,505,773.98
  5. Step 5: Solve for x
    x = 307,505,773.98/26,275.32
  6. Step 6: Final answer
    x = 11,703.22

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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.