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Finding the Fourth Proportional to 10,652.82, 14,700.27 and 6,114.54

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Solution

The fourth proportional to 10,652.82, 14,700.27 and 6,114.54 is: 8,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.82 : 14,700.27 = 6,114.54 : x
  2. Step 2: Convert to fraction form
    10,652.82/14,700.27 = 6,114.54/x
  3. Step 3: Cross multiply
    10,652.82x = 14,700.27 × 6,114.54
  4. Step 4: Simplify right side
    10,652.82x = 89,885,388.93
  5. Step 5: Solve for x
    x = 89,885,388.93/10,652.82
  6. Step 6: Final answer
    x = 8,437.71

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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.