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Finding the Fourth Proportional to 12,051.76, 18,064.68 and 7,878.64

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Solution

The fourth proportional to 12,051.76, 18,064.68 and 7,878.64 is: 11,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.76 : 18,064.68 = 7,878.64 : x
  2. Step 2: Convert to fraction form
    12,051.76/18,064.68 = 7,878.64/x
  3. Step 3: Cross multiply
    12,051.76x = 18,064.68 × 7,878.64
  4. Step 4: Simplify right side
    12,051.76x = 142,325,110.44
  5. Step 5: Solve for x
    x = 142,325,110.44/12,051.76
  6. Step 6: Final answer
    x = 11,809.49

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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.