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Finding the Fourth Proportional to 7,818.72, 11,726.82 and 3,435.36

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Solution

The fourth proportional to 7,818.72, 11,726.82 and 3,435.36 is: 5,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.72 : 11,726.82 = 3,435.36 : x
  2. Step 2: Convert to fraction form
    7,818.72/11,726.82 = 3,435.36/x
  3. Step 3: Cross multiply
    7,818.72x = 11,726.82 × 3,435.36
  4. Step 4: Simplify right side
    7,818.72x = 40,285,848.36
  5. Step 5: Solve for x
    x = 40,285,848.36/7,818.72
  6. Step 6: Final answer
    x = 5,152.49

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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.