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Finding the Fourth Proportional to 7,569.56, 10,445.06 and 4,211.48

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Solution

The fourth proportional to 7,569.56, 10,445.06 and 4,211.48 is: 5,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.56 : 10,445.06 = 4,211.48 : x
  2. Step 2: Convert to fraction form
    7,569.56/10,445.06 = 4,211.48/x
  3. Step 3: Cross multiply
    7,569.56x = 10,445.06 × 4,211.48
  4. Step 4: Simplify right side
    7,569.56x = 43,989,161.29
  5. Step 5: Solve for x
    x = 43,989,161.29/7,569.56
  6. Step 6: Final answer
    x = 5,811.32

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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.