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Finding the Fourth Proportional to 11,548, 17,322.90 and 4,153.42

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Solution

The fourth proportional to 11,548, 17,322.90 and 4,153.42 is: 6,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548 : 17,322.90 = 4,153.42 : x
  2. Step 2: Convert to fraction form
    11,548/17,322.90 = 4,153.42/x
  3. Step 3: Cross multiply
    11,548x = 17,322.90 × 4,153.42
  4. Step 4: Simplify right side
    11,548x = 71,949,279.32
  5. Step 5: Solve for x
    x = 71,949,279.32/11,548
  6. Step 6: Final answer
    x = 6,230.45

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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.