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Finding the Fourth Proportional to 11,823.66, 16,316.76 and 6,518.66

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Solution

The fourth proportional to 11,823.66, 16,316.76 and 6,518.66 is: 8,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.66 : 16,316.76 = 6,518.66 : x
  2. Step 2: Convert to fraction form
    11,823.66/16,316.76 = 6,518.66/x
  3. Step 3: Cross multiply
    11,823.66x = 16,316.76 × 6,518.66
  4. Step 4: Simplify right side
    11,823.66x = 106,363,427.09
  5. Step 5: Solve for x
    x = 106,363,427.09/11,823.66
  6. Step 6: Final answer
    x = 8,995.82

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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.