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Finding the Fourth Proportional to 7,307.48, 10,081.86 and 4,161.44

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Solution

The fourth proportional to 7,307.48, 10,081.86 and 4,161.44 is: 5,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.48 : 10,081.86 = 4,161.44 : x
  2. Step 2: Convert to fraction form
    7,307.48/10,081.86 = 4,161.44/x
  3. Step 3: Cross multiply
    7,307.48x = 10,081.86 × 4,161.44
  4. Step 4: Simplify right side
    7,307.48x = 41,955,055.48
  5. Step 5: Solve for x
    x = 41,955,055.48/7,307.48
  6. Step 6: Final answer
    x = 5,741.38

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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.