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Finding the Fourth Proportional to 7,678.56, 10,596.36 and 4,321.20

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Solution

The fourth proportional to 7,678.56, 10,596.36 and 4,321.20 is: 5,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.56 : 10,596.36 = 4,321.20 : x
  2. Step 2: Convert to fraction form
    7,678.56/10,596.36 = 4,321.20/x
  3. Step 3: Cross multiply
    7,678.56x = 10,596.36 × 4,321.20
  4. Step 4: Simplify right side
    7,678.56x = 45,788,990.83
  5. Step 5: Solve for x
    x = 45,788,990.83/7,678.56
  6. Step 6: Final answer
    x = 5,963.23

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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.