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Finding the Fourth Proportional to 7,570.26, 10,446.03 and 4,585.68

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Solution

The fourth proportional to 7,570.26, 10,446.03 and 4,585.68 is: 6,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.26 : 10,446.03 = 4,585.68 : x
  2. Step 2: Convert to fraction form
    7,570.26/10,446.03 = 4,585.68/x
  3. Step 3: Cross multiply
    7,570.26x = 10,446.03 × 4,585.68
  4. Step 4: Simplify right side
    7,570.26x = 47,902,150.85
  5. Step 5: Solve for x
    x = 47,902,150.85/7,570.26
  6. Step 6: Final answer
    x = 6,327.68

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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.