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Finding the Fourth Proportional to 11,384.25, 17,078.19 and 4,810.49

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Solution

The fourth proportional to 11,384.25, 17,078.19 and 4,810.49 is: 7,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.25 : 17,078.19 = 4,810.49 : x
  2. Step 2: Convert to fraction form
    11,384.25/17,078.19 = 4,810.49/x
  3. Step 3: Cross multiply
    11,384.25x = 17,078.19 × 4,810.49
  4. Step 4: Simplify right side
    11,384.25x = 82,154,449.89
  5. Step 5: Solve for x
    x = 82,154,449.89/11,384.25
  6. Step 6: Final answer
    x = 7,216.50

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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.