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Finding the Fourth Proportional to 10,712.93, 14,780.26 and 6,235.73

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Solution

The fourth proportional to 10,712.93, 14,780.26 and 6,235.73 is: 8,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.93 : 14,780.26 = 6,235.73 : x
  2. Step 2: Convert to fraction form
    10,712.93/14,780.26 = 6,235.73/x
  3. Step 3: Cross multiply
    10,712.93x = 14,780.26 × 6,235.73
  4. Step 4: Simplify right side
    10,712.93x = 92,165,623.36
  5. Step 5: Solve for x
    x = 92,165,623.36/10,712.93
  6. Step 6: Final answer
    x = 8,603.22

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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.