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Finding the Fourth Proportional to 8,594.75, 12,880.58 and 3,663.06

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Solution

The fourth proportional to 8,594.75, 12,880.58 and 3,663.06 is: 5,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.75 : 12,880.58 = 3,663.06 : x
  2. Step 2: Convert to fraction form
    8,594.75/12,880.58 = 3,663.06/x
  3. Step 3: Cross multiply
    8,594.75x = 12,880.58 × 3,663.06
  4. Step 4: Simplify right side
    8,594.75x = 47,182,319.06
  5. Step 5: Solve for x
    x = 47,182,319.06/8,594.75
  6. Step 6: Final answer
    x = 5,489.67

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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.