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Finding the Fourth Proportional to 7,680.53, 10,599.34 and 4,323.47

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Solution

The fourth proportional to 7,680.53, 10,599.34 and 4,323.47 is: 5,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.53 : 10,599.34 = 4,323.47 : x
  2. Step 2: Convert to fraction form
    7,680.53/10,599.34 = 4,323.47/x
  3. Step 3: Cross multiply
    7,680.53x = 10,599.34 × 4,323.47
  4. Step 4: Simplify right side
    7,680.53x = 45,825,893.96
  5. Step 5: Solve for x
    x = 45,825,893.96/7,680.53
  6. Step 6: Final answer
    x = 5,966.50

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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.