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Finding the Fourth Proportional to 7,978.69, 11,010.60 and 4,442.14

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Solution

The fourth proportional to 7,978.69, 11,010.60 and 4,442.14 is: 6,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.69 : 11,010.60 = 4,442.14 : x
  2. Step 2: Convert to fraction form
    7,978.69/11,010.60 = 4,442.14/x
  3. Step 3: Cross multiply
    7,978.69x = 11,010.60 × 4,442.14
  4. Step 4: Simplify right side
    7,978.69x = 48,910,626.68
  5. Step 5: Solve for x
    x = 48,910,626.68/7,978.69
  6. Step 6: Final answer
    x = 6,130.16

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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.