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Finding the Fourth Proportional to 8,706.63, 13,054.01 and 4,024.02

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Solution

The fourth proportional to 8,706.63, 13,054.01 and 4,024.02 is: 6,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.63 : 13,054.01 = 4,024.02 : x
  2. Step 2: Convert to fraction form
    8,706.63/13,054.01 = 4,024.02/x
  3. Step 3: Cross multiply
    8,706.63x = 13,054.01 × 4,024.02
  4. Step 4: Simplify right side
    8,706.63x = 52,529,577.20
  5. Step 5: Solve for x
    x = 52,529,577.20/8,706.63
  6. Step 6: Final answer
    x = 6,033.28

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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.