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Finding the Fourth Proportional to 7,682.31, 10,598.35 and 4,697.19

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Solution

The fourth proportional to 7,682.31, 10,598.35 and 4,697.19 is: 6,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.31 : 10,598.35 = 4,697.19 : x
  2. Step 2: Convert to fraction form
    7,682.31/10,598.35 = 4,697.19/x
  3. Step 3: Cross multiply
    7,682.31x = 10,598.35 × 4,697.19
  4. Step 4: Simplify right side
    7,682.31x = 49,782,463.64
  5. Step 5: Solve for x
    x = 49,782,463.64/7,682.31
  6. Step 6: Final answer
    x = 6,480.14

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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.