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Finding the Fourth Proportional to 7,365.76, 10,164.38 and 4,381.54

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Solution

The fourth proportional to 7,365.76, 10,164.38 and 4,381.54 is: 6,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.76 : 10,164.38 = 4,381.54 : x
  2. Step 2: Convert to fraction form
    7,365.76/10,164.38 = 4,381.54/x
  3. Step 3: Cross multiply
    7,365.76x = 10,164.38 × 4,381.54
  4. Step 4: Simplify right side
    7,365.76x = 44,535,637.55
  5. Step 5: Solve for x
    x = 44,535,637.55/7,365.76
  6. Step 6: Final answer
    x = 6,046.31

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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.