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Finding the Fourth Proportional to 10,584.36, 15,879.18 and 7,470.45

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Solution

The fourth proportional to 10,584.36, 15,879.18 and 7,470.45 is: 11,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.36 : 15,879.18 = 7,470.45 : x
  2. Step 2: Convert to fraction form
    10,584.36/15,879.18 = 7,470.45/x
  3. Step 3: Cross multiply
    10,584.36x = 15,879.18 × 7,470.45
  4. Step 4: Simplify right side
    10,584.36x = 118,624,620.23
  5. Step 5: Solve for x
    x = 118,624,620.23/10,584.36
  6. Step 6: Final answer
    x = 11,207.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.