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Finding the Fourth Proportional to 10,502.55, 14,493.89 and 6,027.21

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Solution

The fourth proportional to 10,502.55, 14,493.89 and 6,027.21 is: 8,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.55 : 14,493.89 = 6,027.21 : x
  2. Step 2: Convert to fraction form
    10,502.55/14,493.89 = 6,027.21/x
  3. Step 3: Cross multiply
    10,502.55x = 14,493.89 × 6,027.21
  4. Step 4: Simplify right side
    10,502.55x = 87,357,718.75
  5. Step 5: Solve for x
    x = 87,357,718.75/10,502.55
  6. Step 6: Final answer
    x = 8,317.76

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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.