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Finding the Fourth Proportional to 7,571.50, 10,447.54 and 4,214.35

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Solution

The fourth proportional to 7,571.50, 10,447.54 and 4,214.35 is: 5,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.50 : 10,447.54 = 4,214.35 : x
  2. Step 2: Convert to fraction form
    7,571.50/10,447.54 = 4,214.35/x
  3. Step 3: Cross multiply
    7,571.50x = 10,447.54 × 4,214.35
  4. Step 4: Simplify right side
    7,571.50x = 44,029,590.20
  5. Step 5: Solve for x
    x = 44,029,590.20/7,571.50
  6. Step 6: Final answer
    x = 5,815.17

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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.