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Finding the Fourth Proportional to 11,807.75, 16,294.52 and 6,502.57

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Solution

The fourth proportional to 11,807.75, 16,294.52 and 6,502.57 is: 8,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.75 : 16,294.52 = 6,502.57 : x
  2. Step 2: Convert to fraction form
    11,807.75/16,294.52 = 6,502.57/x
  3. Step 3: Cross multiply
    11,807.75x = 16,294.52 × 6,502.57
  4. Step 4: Simplify right side
    11,807.75x = 105,956,172.95
  5. Step 5: Solve for x
    x = 105,956,172.95/11,807.75
  6. Step 6: Final answer
    x = 8,973.44

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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.