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Finding the Fourth Proportional to 12,818.10, 17,690.62 and 7,784.34

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Solution

The fourth proportional to 12,818.10, 17,690.62 and 7,784.34 is: 10,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.10 : 17,690.62 = 7,784.34 : x
  2. Step 2: Convert to fraction form
    12,818.10/17,690.62 = 7,784.34/x
  3. Step 3: Cross multiply
    12,818.10x = 17,690.62 × 7,784.34
  4. Step 4: Simplify right side
    12,818.10x = 137,709,800.89
  5. Step 5: Solve for x
    x = 137,709,800.89/12,818.10
  6. Step 6: Final answer
    x = 10,743.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.