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Finding the Fourth Proportional to 11,807.80, 16,295.10 and 6,502.84

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Solution

The fourth proportional to 11,807.80, 16,295.10 and 6,502.84 is: 8,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.80 : 16,295.10 = 6,502.84 : x
  2. Step 2: Convert to fraction form
    11,807.80/16,295.10 = 6,502.84/x
  3. Step 3: Cross multiply
    11,807.80x = 16,295.10 × 6,502.84
  4. Step 4: Simplify right side
    11,807.80x = 105,964,428.08
  5. Step 5: Solve for x
    x = 105,964,428.08/11,807.80
  6. Step 6: Final answer
    x = 8,974.10

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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.