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Finding the Fourth Proportional to 10,655.82, 14,705.10 and 6,182.24

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Solution

The fourth proportional to 10,655.82, 14,705.10 and 6,182.24 is: 8,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.82 : 14,705.10 = 6,182.24 : x
  2. Step 2: Convert to fraction form
    10,655.82/14,705.10 = 6,182.24/x
  3. Step 3: Cross multiply
    10,655.82x = 14,705.10 × 6,182.24
  4. Step 4: Simplify right side
    10,655.82x = 90,910,457.42
  5. Step 5: Solve for x
    x = 90,910,457.42/10,655.82
  6. Step 6: Final answer
    x = 8,531.53

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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.