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Finding the Fourth Proportional to 7,697.16, 10,622.52 and 4,341.42

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Solution

The fourth proportional to 7,697.16, 10,622.52 and 4,341.42 is: 5,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.16 : 10,622.52 = 4,341.42 : x
  2. Step 2: Convert to fraction form
    7,697.16/10,622.52 = 4,341.42/x
  3. Step 3: Cross multiply
    7,697.16x = 10,622.52 × 4,341.42
  4. Step 4: Simplify right side
    7,697.16x = 46,116,820.78
  5. Step 5: Solve for x
    x = 46,116,820.78/7,697.16
  6. Step 6: Final answer
    x = 5,991.41

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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.