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Finding the Fourth Proportional to 8,782.56, 13,165.12 and 3,592.16

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Solution

The fourth proportional to 8,782.56, 13,165.12 and 3,592.16 is: 5,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.56 : 13,165.12 = 3,592.16 : x
  2. Step 2: Convert to fraction form
    8,782.56/13,165.12 = 3,592.16/x
  3. Step 3: Cross multiply
    8,782.56x = 13,165.12 × 3,592.16
  4. Step 4: Simplify right side
    8,782.56x = 47,291,217.46
  5. Step 5: Solve for x
    x = 47,291,217.46/8,782.56
  6. Step 6: Final answer
    x = 5,384.67

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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.