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Finding the Fourth Proportional to 7,978.32, 11,009.79 and 4,441.86

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Solution

The fourth proportional to 7,978.32, 11,009.79 and 4,441.86 is: 6,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.32 : 11,009.79 = 4,441.86 : x
  2. Step 2: Convert to fraction form
    7,978.32/11,009.79 = 4,441.86/x
  3. Step 3: Cross multiply
    7,978.32x = 11,009.79 × 4,441.86
  4. Step 4: Simplify right side
    7,978.32x = 48,903,945.81
  5. Step 5: Solve for x
    x = 48,903,945.81/7,978.32
  6. Step 6: Final answer
    x = 6,129.60

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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.