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Finding the Fourth Proportional to 26,706.00, 40,055.51 and 6,986.07

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Solution

The fourth proportional to 26,706.00, 40,055.51 and 6,986.07 is: 10,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.00 : 40,055.51 = 6,986.07 : x
  2. Step 2: Convert to fraction form
    26,706.00/40,055.51 = 6,986.07/x
  3. Step 3: Cross multiply
    26,706.00x = 40,055.51 × 6,986.07
  4. Step 4: Simplify right side
    26,706.00x = 279,830,361.54
  5. Step 5: Solve for x
    x = 279,830,361.54/26,706.00
  6. Step 6: Final answer
    x = 10,478.19

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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.