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Finding the Fourth Proportional to 12,778.93, 17,634.95 and 7,472.77

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Solution

The fourth proportional to 12,778.93, 17,634.95 and 7,472.77 is: 10,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.93 : 17,634.95 = 7,472.77 : x
  2. Step 2: Convert to fraction form
    12,778.93/17,634.95 = 7,472.77/x
  3. Step 3: Cross multiply
    12,778.93x = 17,634.95 × 7,472.77
  4. Step 4: Simplify right side
    12,778.93x = 131,781,887.95
  5. Step 5: Solve for x
    x = 131,781,887.95/12,778.93
  6. Step 6: Final answer
    x = 10,312.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.