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Finding the Fourth Proportional to 8,465.94, 11,683.38 and 4,930.02

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Solution

The fourth proportional to 8,465.94, 11,683.38 and 4,930.02 is: 6,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.94 : 11,683.38 = 4,930.02 : x
  2. Step 2: Convert to fraction form
    8,465.94/11,683.38 = 4,930.02/x
  3. Step 3: Cross multiply
    8,465.94x = 11,683.38 × 4,930.02
  4. Step 4: Simplify right side
    8,465.94x = 57,599,297.07
  5. Step 5: Solve for x
    x = 57,599,297.07/8,465.94
  6. Step 6: Final answer
    x = 6,803.65

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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.