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Finding the Fourth Proportional to 11,464.34, 15,814.09 and 7,208.66

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Solution

The fourth proportional to 11,464.34, 15,814.09 and 7,208.66 is: 9,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.34 : 15,814.09 = 7,208.66 : x
  2. Step 2: Convert to fraction form
    11,464.34/15,814.09 = 7,208.66/x
  3. Step 3: Cross multiply
    11,464.34x = 15,814.09 × 7,208.66
  4. Step 4: Simplify right side
    11,464.34x = 113,998,406.02
  5. Step 5: Solve for x
    x = 113,998,406.02/11,464.34
  6. Step 6: Final answer
    x = 9,943.74

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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.