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Finding the Fourth Proportional to 7,346, 11,011.70 and 3,443.42

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Solution

The fourth proportional to 7,346, 11,011.70 and 3,443.42 is: 5,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346 : 11,011.70 = 3,443.42 : x
  2. Step 2: Convert to fraction form
    7,346/11,011.70 = 3,443.42/x
  3. Step 3: Cross multiply
    7,346x = 11,011.70 × 3,443.42
  4. Step 4: Simplify right side
    7,346x = 37,917,908.01
  5. Step 5: Solve for x
    x = 37,917,908.01/7,346
  6. Step 6: Final answer
    x = 5,161.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.