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Finding the Fourth Proportional to 11,807.63, 16,294.55 and 6,502.94

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Solution

The fourth proportional to 11,807.63, 16,294.55 and 6,502.94 is: 8,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.63 : 16,294.55 = 6,502.94 : x
  2. Step 2: Convert to fraction form
    11,807.63/16,294.55 = 6,502.94/x
  3. Step 3: Cross multiply
    11,807.63x = 16,294.55 × 6,502.94
  4. Step 4: Simplify right side
    11,807.63x = 105,962,366.99
  5. Step 5: Solve for x
    x = 105,962,366.99/11,807.63
  6. Step 6: Final answer
    x = 8,974.06

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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.