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Finding the Fourth Proportional to 7,978.34, 11,010.57 and 4,441.54

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Solution

The fourth proportional to 7,978.34, 11,010.57 and 4,441.54 is: 6,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.34 : 11,010.57 = 4,441.54 : x
  2. Step 2: Convert to fraction form
    7,978.34/11,010.57 = 4,441.54/x
  3. Step 3: Cross multiply
    7,978.34x = 11,010.57 × 4,441.54
  4. Step 4: Simplify right side
    7,978.34x = 48,903,887.08
  5. Step 5: Solve for x
    x = 48,903,887.08/7,978.34
  6. Step 6: Final answer
    x = 6,129.58

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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.