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Finding the Fourth Proportional to 8,039.36, 12,048.78 and 6,995

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Solution

The fourth proportional to 8,039.36, 12,048.78 and 6,995 is: 10,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.36 : 12,048.78 = 6,995 : x
  2. Step 2: Convert to fraction form
    8,039.36/12,048.78 = 6,995/x
  3. Step 3: Cross multiply
    8,039.36x = 12,048.78 × 6,995
  4. Step 4: Simplify right side
    8,039.36x = 84,281,216.10
  5. Step 5: Solve for x
    x = 84,281,216.10/8,039.36
  6. Step 6: Final answer
    x = 10,483.57

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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.