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Finding the Fourth Proportional to 7,569.54, 10,445.63 and 4,212.09

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Solution

The fourth proportional to 7,569.54, 10,445.63 and 4,212.09 is: 5,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.54 : 10,445.63 = 4,212.09 : x
  2. Step 2: Convert to fraction form
    7,569.54/10,445.63 = 4,212.09/x
  3. Step 3: Cross multiply
    7,569.54x = 10,445.63 × 4,212.09
  4. Step 4: Simplify right side
    7,569.54x = 43,997,912.61
  5. Step 5: Solve for x
    x = 43,997,912.61/7,569.54
  6. Step 6: Final answer
    x = 5,812.49

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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.