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Finding the Fourth Proportional to 8,784.56, 13,168.12 and 3,594.16

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Solution

The fourth proportional to 8,784.56, 13,168.12 and 3,594.16 is: 5,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.56 : 13,168.12 = 3,594.16 : x
  2. Step 2: Convert to fraction form
    8,784.56/13,168.12 = 3,594.16/x
  3. Step 3: Cross multiply
    8,784.56x = 13,168.12 × 3,594.16
  4. Step 4: Simplify right side
    8,784.56x = 47,328,330.18
  5. Step 5: Solve for x
    x = 47,328,330.18/8,784.56
  6. Step 6: Final answer
    x = 5,387.67

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Why These Related Problems?

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