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Finding the Fourth Proportional to 7,411.91, 10,228.29 and 4,054.69

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Solution

The fourth proportional to 7,411.91, 10,228.29 and 4,054.69 is: 5,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.91 : 10,228.29 = 4,054.69 : x
  2. Step 2: Convert to fraction form
    7,411.91/10,228.29 = 4,054.69/x
  3. Step 3: Cross multiply
    7,411.91x = 10,228.29 × 4,054.69
  4. Step 4: Simplify right side
    7,411.91x = 41,472,519.61
  5. Step 5: Solve for x
    x = 41,472,519.61/7,411.91
  6. Step 6: Final answer
    x = 5,595.39

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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.