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Finding the Fourth Proportional to 11,477.49, 17,248.76 and 6,798.39

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Solution

The fourth proportional to 11,477.49, 17,248.76 and 6,798.39 is: 10,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.49 : 17,248.76 = 6,798.39 : x
  2. Step 2: Convert to fraction form
    11,477.49/17,248.76 = 6,798.39/x
  3. Step 3: Cross multiply
    11,477.49x = 17,248.76 × 6,798.39
  4. Step 4: Simplify right side
    11,477.49x = 117,263,763.50
  5. Step 5: Solve for x
    x = 117,263,763.50/11,477.49
  6. Step 6: Final answer
    x = 10,216.85

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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.