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Finding the Fourth Proportional to 7,569.62, 10,445.74 and 4,212.17

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Solution

The fourth proportional to 7,569.62, 10,445.74 and 4,212.17 is: 5,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.62 : 10,445.74 = 4,212.17 : x
  2. Step 2: Convert to fraction form
    7,569.62/10,445.74 = 4,212.17/x
  3. Step 3: Cross multiply
    7,569.62x = 10,445.74 × 4,212.17
  4. Step 4: Simplify right side
    7,569.62x = 43,999,232.66
  5. Step 5: Solve for x
    x = 43,999,232.66/7,569.62
  6. Step 6: Final answer
    x = 5,812.61

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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.