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Finding the Fourth Proportional to 7,998.75, 11,038.29 and 4,462.17

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Solution

The fourth proportional to 7,998.75, 11,038.29 and 4,462.17 is: 6,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.75 : 11,038.29 = 4,462.17 : x
  2. Step 2: Convert to fraction form
    7,998.75/11,038.29 = 4,462.17/x
  3. Step 3: Cross multiply
    7,998.75x = 11,038.29 × 4,462.17
  4. Step 4: Simplify right side
    7,998.75x = 49,254,726.49
  5. Step 5: Solve for x
    x = 49,254,726.49/7,998.75
  6. Step 6: Final answer
    x = 6,157.80

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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.