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Finding the Fourth Proportional to 7,569.46, 10,445.24 and 4,212.28

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Solution

The fourth proportional to 7,569.46, 10,445.24 and 4,212.28 is: 5,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.46 : 10,445.24 = 4,212.28 : x
  2. Step 2: Convert to fraction form
    7,569.46/10,445.24 = 4,212.28/x
  3. Step 3: Cross multiply
    7,569.46x = 10,445.24 × 4,212.28
  4. Step 4: Simplify right side
    7,569.46x = 43,998,275.55
  5. Step 5: Solve for x
    x = 43,998,275.55/7,569.46
  6. Step 6: Final answer
    x = 5,812.60

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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.