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Finding the Fourth Proportional to 11,406.26, 15,740.52 and 6,689.64

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Solution

The fourth proportional to 11,406.26, 15,740.52 and 6,689.64 is: 9,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.26 : 15,740.52 = 6,689.64 : x
  2. Step 2: Convert to fraction form
    11,406.26/15,740.52 = 6,689.64/x
  3. Step 3: Cross multiply
    11,406.26x = 15,740.52 × 6,689.64
  4. Step 4: Simplify right side
    11,406.26x = 105,298,412.21
  5. Step 5: Solve for x
    x = 105,298,412.21/11,406.26
  6. Step 6: Final answer
    x = 9,231.63

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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.