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Finding the Fourth Proportional to 7,384.46, 10,185.63 and 5,889.74

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Solution

The fourth proportional to 7,384.46, 10,185.63 and 5,889.74 is: 8,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.46 : 10,185.63 = 5,889.74 : x
  2. Step 2: Convert to fraction form
    7,384.46/10,185.63 = 5,889.74/x
  3. Step 3: Cross multiply
    7,384.46x = 10,185.63 × 5,889.74
  4. Step 4: Simplify right side
    7,384.46x = 59,990,712.44
  5. Step 5: Solve for x
    x = 59,990,712.44/7,384.46
  6. Step 6: Final answer
    x = 8,123.91

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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.