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Finding the Fourth Proportional to 10,846.61, 16,259.43 and 8,876.49

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Solution

The fourth proportional to 10,846.61, 16,259.43 and 8,876.49 is: 13,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.61 : 16,259.43 = 8,876.49 : x
  2. Step 2: Convert to fraction form
    10,846.61/16,259.43 = 8,876.49/x
  3. Step 3: Cross multiply
    10,846.61x = 16,259.43 × 8,876.49
  4. Step 4: Simplify right side
    10,846.61x = 144,326,640.11
  5. Step 5: Solve for x
    x = 144,326,640.11/10,846.61
  6. Step 6: Final answer
    x = 13,306.15

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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.