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Finding the Fourth Proportional to 7,263.94, 10,024.04 and 4,120.06

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Solution

The fourth proportional to 7,263.94, 10,024.04 and 4,120.06 is: 5,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.94 : 10,024.04 = 4,120.06 : x
  2. Step 2: Convert to fraction form
    7,263.94/10,024.04 = 4,120.06/x
  3. Step 3: Cross multiply
    7,263.94x = 10,024.04 × 4,120.06
  4. Step 4: Simplify right side
    7,263.94x = 41,299,646.24
  5. Step 5: Solve for x
    x = 41,299,646.24/7,263.94
  6. Step 6: Final answer
    x = 5,685.57

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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.