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Finding the Fourth Proportional to 11,807.82, 16,295.00 and 6,502.59

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Solution

The fourth proportional to 11,807.82, 16,295.00 and 6,502.59 is: 8,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.82 : 16,295.00 = 6,502.59 : x
  2. Step 2: Convert to fraction form
    11,807.82/16,295.00 = 6,502.59/x
  3. Step 3: Cross multiply
    11,807.82x = 16,295.00 × 6,502.59
  4. Step 4: Simplify right side
    11,807.82x = 105,959,671.54
  5. Step 5: Solve for x
    x = 105,959,671.54/11,807.82
  6. Step 6: Final answer
    x = 8,973.69

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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.