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Finding the Fourth Proportional to 7,407.94, 10,225.53 and 4,265.38

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Solution

The fourth proportional to 7,407.94, 10,225.53 and 4,265.38 is: 5,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.94 : 10,225.53 = 4,265.38 : x
  2. Step 2: Convert to fraction form
    7,407.94/10,225.53 = 4,265.38/x
  3. Step 3: Cross multiply
    7,407.94x = 10,225.53 × 4,265.38
  4. Step 4: Simplify right side
    7,407.94x = 43,615,771.15
  5. Step 5: Solve for x
    x = 43,615,771.15/7,407.94
  6. Step 6: Final answer
    x = 5,887.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.