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Finding the Fourth Proportional to 11,464.48, 15,814.28 and 7,208.80

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Solution

The fourth proportional to 11,464.48, 15,814.28 and 7,208.80 is: 9,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.48 : 15,814.28 = 7,208.80 : x
  2. Step 2: Convert to fraction form
    11,464.48/15,814.28 = 7,208.80/x
  3. Step 3: Cross multiply
    11,464.48x = 15,814.28 × 7,208.80
  4. Step 4: Simplify right side
    11,464.48x = 114,002,008.56
  5. Step 5: Solve for x
    x = 114,002,008.56/11,464.48
  6. Step 6: Final answer
    x = 9,943.93

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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.