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Finding the Fourth Proportional to 11,599.25, 16,005.33 and 6,564.29

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Solution

The fourth proportional to 11,599.25, 16,005.33 and 6,564.29 is: 9,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.25 : 16,005.33 = 6,564.29 : x
  2. Step 2: Convert to fraction form
    11,599.25/16,005.33 = 6,564.29/x
  3. Step 3: Cross multiply
    11,599.25x = 16,005.33 × 6,564.29
  4. Step 4: Simplify right side
    11,599.25x = 105,063,547.64
  5. Step 5: Solve for x
    x = 105,063,547.64/11,599.25
  6. Step 6: Final answer
    x = 9,057.79

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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.