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Finding the Fourth Proportional to 8,706.16, 13,059.40 and 2,782.96

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Solution

The fourth proportional to 8,706.16, 13,059.40 and 2,782.96 is: 4,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.16 : 13,059.40 = 2,782.96 : x
  2. Step 2: Convert to fraction form
    8,706.16/13,059.40 = 2,782.96/x
  3. Step 3: Cross multiply
    8,706.16x = 13,059.40 × 2,782.96
  4. Step 4: Simplify right side
    8,706.16x = 36,343,787.82
  5. Step 5: Solve for x
    x = 36,343,787.82/8,706.16
  6. Step 6: Final answer
    x = 4,174.49

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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.