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Finding the Fourth Proportional to 7,564.13, 11,321.93 and 4,045.33

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Solution

The fourth proportional to 7,564.13, 11,321.93 and 4,045.33 is: 6,055.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.13 : 11,321.93 = 4,045.33 : x
  2. Step 2: Convert to fraction form
    7,564.13/11,321.93 = 4,045.33/x
  3. Step 3: Cross multiply
    7,564.13x = 11,321.93 × 4,045.33
  4. Step 4: Simplify right side
    7,564.13x = 45,800,976.44
  5. Step 5: Solve for x
    x = 45,800,976.44/7,564.13
  6. Step 6: Final answer
    x = 6,055.03

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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.