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Finding the Fourth Proportional to 8,706.23, 13,054.95 and 4,264.25

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Solution

The fourth proportional to 8,706.23, 13,054.95 and 4,264.25 is: 6,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.23 : 13,054.95 = 4,264.25 : x
  2. Step 2: Convert to fraction form
    8,706.23/13,054.95 = 4,264.25/x
  3. Step 3: Cross multiply
    8,706.23x = 13,054.95 × 4,264.25
  4. Step 4: Simplify right side
    8,706.23x = 55,669,505.26
  5. Step 5: Solve for x
    x = 55,669,505.26/8,706.23
  6. Step 6: Final answer
    x = 6,394.22

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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.