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Finding the Fourth Proportional to 10,681.67, 14,739.44 and 6,432.66

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Solution

The fourth proportional to 10,681.67, 14,739.44 and 6,432.66 is: 8,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.67 : 14,739.44 = 6,432.66 : x
  2. Step 2: Convert to fraction form
    10,681.67/14,739.44 = 6,432.66/x
  3. Step 3: Cross multiply
    10,681.67x = 14,739.44 × 6,432.66
  4. Step 4: Simplify right side
    10,681.67x = 94,813,810.80
  5. Step 5: Solve for x
    x = 94,813,810.80/10,681.67
  6. Step 6: Final answer
    x = 8,876.31

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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.