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Finding the Fourth Proportional to 8,767.40, 12,078.42 and 6,109.96

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Solution

The fourth proportional to 8,767.40, 12,078.42 and 6,109.96 is: 8,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.40 : 12,078.42 = 6,109.96 : x
  2. Step 2: Convert to fraction form
    8,767.40/12,078.42 = 6,109.96/x
  3. Step 3: Cross multiply
    8,767.40x = 12,078.42 × 6,109.96
  4. Step 4: Simplify right side
    8,767.40x = 73,798,663.06
  5. Step 5: Solve for x
    x = 73,798,663.06/8,767.40
  6. Step 6: Final answer
    x = 8,417.39

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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.