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Finding the Fourth Proportional to 7,679.71, 10,598.34 and 4,322.16

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Solution

The fourth proportional to 7,679.71, 10,598.34 and 4,322.16 is: 5,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.71 : 10,598.34 = 4,322.16 : x
  2. Step 2: Convert to fraction form
    7,679.71/10,598.34 = 4,322.16/x
  3. Step 3: Cross multiply
    7,679.71x = 10,598.34 × 4,322.16
  4. Step 4: Simplify right side
    7,679.71x = 45,807,737.42
  5. Step 5: Solve for x
    x = 45,807,737.42/7,679.71
  6. Step 6: Final answer
    x = 5,964.77

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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.