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Finding the Fourth Proportional to 8,735.50, 12,055.26 and 5,009.50

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Solution

The fourth proportional to 8,735.50, 12,055.26 and 5,009.50 is: 6,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.50 : 12,055.26 = 5,009.50 : x
  2. Step 2: Convert to fraction form
    8,735.50/12,055.26 = 5,009.50/x
  3. Step 3: Cross multiply
    8,735.50x = 12,055.26 × 5,009.50
  4. Step 4: Simplify right side
    8,735.50x = 60,390,824.97
  5. Step 5: Solve for x
    x = 60,390,824.97/8,735.50
  6. Step 6: Final answer
    x = 6,913.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.