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Finding the Fourth Proportional to 10,415.62, 15,620.16 and 3,488.50

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Solution

The fourth proportional to 10,415.62, 15,620.16 and 3,488.50 is: 5,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.62 : 15,620.16 = 3,488.50 : x
  2. Step 2: Convert to fraction form
    10,415.62/15,620.16 = 3,488.50/x
  3. Step 3: Cross multiply
    10,415.62x = 15,620.16 × 3,488.50
  4. Step 4: Simplify right side
    10,415.62x = 54,490,928.16
  5. Step 5: Solve for x
    x = 54,490,928.16/10,415.62
  6. Step 6: Final answer
    x = 5,231.65

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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.