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Finding the Fourth Proportional to 7,680.42, 10,599.42 and 4,323.36

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Solution

The fourth proportional to 7,680.42, 10,599.42 and 4,323.36 is: 5,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.42 : 10,599.42 = 4,323.36 : x
  2. Step 2: Convert to fraction form
    7,680.42/10,599.42 = 4,323.36/x
  3. Step 3: Cross multiply
    7,680.42x = 10,599.42 × 4,323.36
  4. Step 4: Simplify right side
    7,680.42x = 45,825,108.45
  5. Step 5: Solve for x
    x = 45,825,108.45/7,680.42
  6. Step 6: Final answer
    x = 5,966.48

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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.