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Finding the Fourth Proportional to 11,602.26, 16,006.64 and 6,565.33

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Solution

The fourth proportional to 11,602.26, 16,006.64 and 6,565.33 is: 9,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.26 : 16,006.64 = 6,565.33 : x
  2. Step 2: Convert to fraction form
    11,602.26/16,006.64 = 6,565.33/x
  3. Step 3: Cross multiply
    11,602.26x = 16,006.64 × 6,565.33
  4. Step 4: Simplify right side
    11,602.26x = 105,088,873.79
  5. Step 5: Solve for x
    x = 105,088,873.79/11,602.26
  6. Step 6: Final answer
    x = 9,057.62

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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.