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Finding the Fourth Proportional to 7,978.96, 11,010.54 and 4,442.08

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Solution

The fourth proportional to 7,978.96, 11,010.54 and 4,442.08 is: 6,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.96 : 11,010.54 = 4,442.08 : x
  2. Step 2: Convert to fraction form
    7,978.96/11,010.54 = 4,442.08/x
  3. Step 3: Cross multiply
    7,978.96x = 11,010.54 × 4,442.08
  4. Step 4: Simplify right side
    7,978.96x = 48,909,699.52
  5. Step 5: Solve for x
    x = 48,909,699.52/7,978.96
  6. Step 6: Final answer
    x = 6,129.83

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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.