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Finding the Fourth Proportional to 11,808.22, 16,295.24 and 6,502.92

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Solution

The fourth proportional to 11,808.22, 16,295.24 and 6,502.92 is: 8,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.22 : 16,295.24 = 6,502.92 : x
  2. Step 2: Convert to fraction form
    11,808.22/16,295.24 = 6,502.92/x
  3. Step 3: Cross multiply
    11,808.22x = 16,295.24 × 6,502.92
  4. Step 4: Simplify right side
    11,808.22x = 105,966,688.91
  5. Step 5: Solve for x
    x = 105,966,688.91/11,808.22
  6. Step 6: Final answer
    x = 8,973.98

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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.