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Finding the Fourth Proportional to 26,262, 39,381.12 and 7,537.77

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Solution

The fourth proportional to 26,262, 39,381.12 and 7,537.77 is: 11,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,262 : 39,381.12 = 7,537.77 : x
  2. Step 2: Convert to fraction form
    26,262/39,381.12 = 7,537.77/x
  3. Step 3: Cross multiply
    26,262x = 39,381.12 × 7,537.77
  4. Step 4: Simplify right side
    26,262x = 296,845,824.90
  5. Step 5: Solve for x
    x = 296,845,824.90/26,262
  6. Step 6: Final answer
    x = 11,303.25

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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.