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Finding the Fourth Proportional to 10,782.61, 16,176.59 and 8,569.79

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Solution

The fourth proportional to 10,782.61, 16,176.59 and 8,569.79 is: 12,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.61 : 16,176.59 = 8,569.79 : x
  2. Step 2: Convert to fraction form
    10,782.61/16,176.59 = 8,569.79/x
  3. Step 3: Cross multiply
    10,782.61x = 16,176.59 × 8,569.79
  4. Step 4: Simplify right side
    10,782.61x = 138,629,979.22
  5. Step 5: Solve for x
    x = 138,629,979.22/10,782.61
  6. Step 6: Final answer
    x = 12,856.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.