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Finding the Fourth Proportional to 11,807.64, 16,294.56 and 6,502.47

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Solution

The fourth proportional to 11,807.64, 16,294.56 and 6,502.47 is: 8,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.64 : 16,294.56 = 6,502.47 : x
  2. Step 2: Convert to fraction form
    11,807.64/16,294.56 = 6,502.47/x
  3. Step 3: Cross multiply
    11,807.64x = 16,294.56 × 6,502.47
  4. Step 4: Simplify right side
    11,807.64x = 105,954,887.56
  5. Step 5: Solve for x
    x = 105,954,887.56/11,807.64
  6. Step 6: Final answer
    x = 8,973.42

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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.