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Finding the Fourth Proportional to 11,378.39, 17,068.44 and 3,587

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Solution

The fourth proportional to 11,378.39, 17,068.44 and 3,587 is: 5,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.39 : 17,068.44 = 3,587 : x
  2. Step 2: Convert to fraction form
    11,378.39/17,068.44 = 3,587/x
  3. Step 3: Cross multiply
    11,378.39x = 17,068.44 × 3,587
  4. Step 4: Simplify right side
    11,378.39x = 61,224,494.28
  5. Step 5: Solve for x
    x = 61,224,494.28/11,378.39
  6. Step 6: Final answer
    x = 5,380.77

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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.