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Finding the Fourth Proportional to 7,407.13, 10,222.74 and 4,263.25

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Solution

The fourth proportional to 7,407.13, 10,222.74 and 4,263.25 is: 5,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.13 : 10,222.74 = 4,263.25 : x
  2. Step 2: Convert to fraction form
    7,407.13/10,222.74 = 4,263.25/x
  3. Step 3: Cross multiply
    7,407.13x = 10,222.74 × 4,263.25
  4. Step 4: Simplify right side
    7,407.13x = 43,582,096.31
  5. Step 5: Solve for x
    x = 43,582,096.31/7,407.13
  6. Step 6: Final answer
    x = 5,883.80

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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.