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Finding the Fourth Proportional to 7,434.63, 10,259.78 and 4,122.63

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Solution

The fourth proportional to 7,434.63, 10,259.78 and 4,122.63 is: 5,689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.63 : 10,259.78 = 4,122.63 : x
  2. Step 2: Convert to fraction form
    7,434.63/10,259.78 = 4,122.63/x
  3. Step 3: Cross multiply
    7,434.63x = 10,259.78 × 4,122.63
  4. Step 4: Simplify right side
    7,434.63x = 42,297,235.83
  5. Step 5: Solve for x
    x = 42,297,235.83/7,434.63
  6. Step 6: Final answer
    x = 5,689.22

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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.