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Finding the Fourth Proportional to 10,677.96, 14,733.90 and 5,962.14

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Solution

The fourth proportional to 10,677.96, 14,733.90 and 5,962.14 is: 8,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.96 : 14,733.90 = 5,962.14 : x
  2. Step 2: Convert to fraction form
    10,677.96/14,733.90 = 5,962.14/x
  3. Step 3: Cross multiply
    10,677.96x = 14,733.90 × 5,962.14
  4. Step 4: Simplify right side
    10,677.96x = 87,845,574.55
  5. Step 5: Solve for x
    x = 87,845,574.55/10,677.96
  6. Step 6: Final answer
    x = 8,226.81

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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.