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Finding the Fourth Proportional to 7,295.24, 10,066.26 and 4,151.48

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Solution

The fourth proportional to 7,295.24, 10,066.26 and 4,151.48 is: 5,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.24 : 10,066.26 = 4,151.48 : x
  2. Step 2: Convert to fraction form
    7,295.24/10,066.26 = 4,151.48/x
  3. Step 3: Cross multiply
    7,295.24x = 10,066.26 × 4,151.48
  4. Step 4: Simplify right side
    7,295.24x = 41,789,877.06
  5. Step 5: Solve for x
    x = 41,789,877.06/7,295.24
  6. Step 6: Final answer
    x = 5,728.38

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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.