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Finding the Fourth Proportional to 11,808.16, 16,294.66 and 6,502.86

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Solution

The fourth proportional to 11,808.16, 16,294.66 and 6,502.86 is: 8,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.16 : 16,294.66 = 6,502.86 : x
  2. Step 2: Convert to fraction form
    11,808.16/16,294.66 = 6,502.86/x
  3. Step 3: Cross multiply
    11,808.16x = 16,294.66 × 6,502.86
  4. Step 4: Simplify right side
    11,808.16x = 105,961,876.47
  5. Step 5: Solve for x
    x = 105,961,876.47/11,808.16
  6. Step 6: Final answer
    x = 8,973.62

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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.