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Finding the Fourth Proportional to 11,798.75, 16,282.06 and 6,493.52

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Solution

The fourth proportional to 11,798.75, 16,282.06 and 6,493.52 is: 8,960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.75 : 16,282.06 = 6,493.52 : x
  2. Step 2: Convert to fraction form
    11,798.75/16,282.06 = 6,493.52/x
  3. Step 3: Cross multiply
    11,798.75x = 16,282.06 × 6,493.52
  4. Step 4: Simplify right side
    11,798.75x = 105,727,784.61
  5. Step 5: Solve for x
    x = 105,727,784.61/11,798.75
  6. Step 6: Final answer
    x = 8,960.93

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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.