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Finding the Fourth Proportional to 7,594.32, 11,384.70 and 4,086.21

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Solution

The fourth proportional to 7,594.32, 11,384.70 and 4,086.21 is: 6,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.32 : 11,384.70 = 4,086.21 : x
  2. Step 2: Convert to fraction form
    7,594.32/11,384.70 = 4,086.21/x
  3. Step 3: Cross multiply
    7,594.32x = 11,384.70 × 4,086.21
  4. Step 4: Simplify right side
    7,594.32x = 46,520,274.99
  5. Step 5: Solve for x
    x = 46,520,274.99/7,594.32
  6. Step 6: Final answer
    x = 6,125.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.