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Finding the Fourth Proportional to 10,776.61, 14,873.76 and 6,745.31

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Solution

The fourth proportional to 10,776.61, 14,873.76 and 6,745.31 is: 9,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.61 : 14,873.76 = 6,745.31 : x
  2. Step 2: Convert to fraction form
    10,776.61/14,873.76 = 6,745.31/x
  3. Step 3: Cross multiply
    10,776.61x = 14,873.76 × 6,745.31
  4. Step 4: Simplify right side
    10,776.61x = 100,328,047.70
  5. Step 5: Solve for x
    x = 100,328,047.70/10,776.61
  6. Step 6: Final answer
    x = 9,309.80

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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.