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Finding the Fourth Proportional to 7,434.86, 10,259.66 and 4,077

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Solution

The fourth proportional to 7,434.86, 10,259.66 and 4,077 is: 5,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.86 : 10,259.66 = 4,077 : x
  2. Step 2: Convert to fraction form
    7,434.86/10,259.66 = 4,077/x
  3. Step 3: Cross multiply
    7,434.86x = 10,259.66 × 4,077
  4. Step 4: Simplify right side
    7,434.86x = 41,828,644.01
  5. Step 5: Solve for x
    x = 41,828,644.01/7,434.86
  6. Step 6: Final answer
    x = 5,626.02

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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.