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Finding the Fourth Proportional to 7,409.52, 11,109.42 and 4,814.28

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Solution

The fourth proportional to 7,409.52, 11,109.42 and 4,814.28 is: 7,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.52 : 11,109.42 = 4,814.28 : x
  2. Step 2: Convert to fraction form
    7,409.52/11,109.42 = 4,814.28/x
  3. Step 3: Cross multiply
    7,409.52x = 11,109.42 × 4,814.28
  4. Step 4: Simplify right side
    7,409.52x = 53,483,858.52
  5. Step 5: Solve for x
    x = 53,483,858.52/7,409.52
  6. Step 6: Final answer
    x = 7,218.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.