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Finding the Fourth Proportional to 7,680.42, 10,598.43 and 4,323.06

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Solution

The fourth proportional to 7,680.42, 10,598.43 and 4,323.06 is: 5,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.42 : 10,598.43 = 4,323.06 : x
  2. Step 2: Convert to fraction form
    7,680.42/10,598.43 = 4,323.06/x
  3. Step 3: Cross multiply
    7,680.42x = 10,598.43 × 4,323.06
  4. Step 4: Simplify right side
    7,680.42x = 45,817,648.80
  5. Step 5: Solve for x
    x = 45,817,648.80/7,680.42
  6. Step 6: Final answer
    x = 5,965.51

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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.