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Finding the Fourth Proportional to 10,623.92, 14,676 and 8,513.47

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Solution

The fourth proportional to 10,623.92, 14,676 and 8,513.47 is: 11,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.92 : 14,676 = 8,513.47 : x
  2. Step 2: Convert to fraction form
    10,623.92/14,676 = 8,513.47/x
  3. Step 3: Cross multiply
    10,623.92x = 14,676 × 8,513.47
  4. Step 4: Simplify right side
    10,623.92x = 124,943,685.72
  5. Step 5: Solve for x
    x = 124,943,685.72/10,623.92
  6. Step 6: Final answer
    x = 11,760.60

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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.