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Finding the Fourth Proportional to 7,697.34, 10,622.32 and 4,160.54

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Solution

The fourth proportional to 7,697.34, 10,622.32 and 4,160.54 is: 5,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.34 : 10,622.32 = 4,160.54 : x
  2. Step 2: Convert to fraction form
    7,697.34/10,622.32 = 4,160.54/x
  3. Step 3: Cross multiply
    7,697.34x = 10,622.32 × 4,160.54
  4. Step 4: Simplify right side
    7,697.34x = 44,194,603.41
  5. Step 5: Solve for x
    x = 44,194,603.41/7,697.34
  6. Step 6: Final answer
    x = 5,741.54

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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.