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Finding the Fourth Proportional to 7,697.35, 10,622.32 and 4,160.55

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Solution

The fourth proportional to 7,697.35, 10,622.32 and 4,160.55 is: 5,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.35 : 10,622.32 = 4,160.55 : x
  2. Step 2: Convert to fraction form
    7,697.35/10,622.32 = 4,160.55/x
  3. Step 3: Cross multiply
    7,697.35x = 10,622.32 × 4,160.55
  4. Step 4: Simplify right side
    7,697.35x = 44,194,693.48
  5. Step 5: Solve for x
    x = 44,194,693.48/7,697.35
  6. Step 6: Final answer
    x = 5,741.55

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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.