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Finding the Fourth Proportional to 7,411.38, 10,227.15 and 4,054.02

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Solution

The fourth proportional to 7,411.38, 10,227.15 and 4,054.02 is: 5,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.38 : 10,227.15 = 4,054.02 : x
  2. Step 2: Convert to fraction form
    7,411.38/10,227.15 = 4,054.02/x
  3. Step 3: Cross multiply
    7,411.38x = 10,227.15 × 4,054.02
  4. Step 4: Simplify right side
    7,411.38x = 41,461,070.64
  5. Step 5: Solve for x
    x = 41,461,070.64/7,411.38
  6. Step 6: Final answer
    x = 5,594.24

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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.