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Finding the Fourth Proportional to 10,228.96, 14,113.92 and 6,038.20

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Solution

The fourth proportional to 10,228.96, 14,113.92 and 6,038.20 is: 8,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.96 : 14,113.92 = 6,038.20 : x
  2. Step 2: Convert to fraction form
    10,228.96/14,113.92 = 6,038.20/x
  3. Step 3: Cross multiply
    10,228.96x = 14,113.92 × 6,038.20
  4. Step 4: Simplify right side
    10,228.96x = 85,222,671.74
  5. Step 5: Solve for x
    x = 85,222,671.74/10,228.96
  6. Step 6: Final answer
    x = 8,331.51

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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.