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Finding the Fourth Proportional to 7,407.96, 10,223.24 and 4,051.08

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Solution

The fourth proportional to 7,407.96, 10,223.24 and 4,051.08 is: 5,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.96 : 10,223.24 = 4,051.08 : x
  2. Step 2: Convert to fraction form
    7,407.96/10,223.24 = 4,051.08/x
  3. Step 3: Cross multiply
    7,407.96x = 10,223.24 × 4,051.08
  4. Step 4: Simplify right side
    7,407.96x = 41,415,163.10
  5. Step 5: Solve for x
    x = 41,415,163.10/7,407.96
  6. Step 6: Final answer
    x = 5,590.63

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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.