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Finding the Fourth Proportional to 8,028.39, 11,078.70 and 4,670.44

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Solution

The fourth proportional to 8,028.39, 11,078.70 and 4,670.44 is: 6,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.39 : 11,078.70 = 4,670.44 : x
  2. Step 2: Convert to fraction form
    8,028.39/11,078.70 = 4,670.44/x
  3. Step 3: Cross multiply
    8,028.39x = 11,078.70 × 4,670.44
  4. Step 4: Simplify right side
    8,028.39x = 51,742,403.63
  5. Step 5: Solve for x
    x = 51,742,403.63/8,028.39
  6. Step 6: Final answer
    x = 6,444.93

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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.