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Finding the Fourth Proportional to 11,210.50, 15,470.34 and 6,174.62

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Solution

The fourth proportional to 11,210.50, 15,470.34 and 6,174.62 is: 8,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.50 : 15,470.34 = 6,174.62 : x
  2. Step 2: Convert to fraction form
    11,210.50/15,470.34 = 6,174.62/x
  3. Step 3: Cross multiply
    11,210.50x = 15,470.34 × 6,174.62
  4. Step 4: Simplify right side
    11,210.50x = 95,523,470.77
  5. Step 5: Solve for x
    x = 95,523,470.77/11,210.50
  6. Step 6: Final answer
    x = 8,520.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.