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Finding the Fourth Proportional to 8,466, 11,683.08 and 5,154

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Solution

The fourth proportional to 8,466, 11,683.08 and 5,154 is: 7,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466 : 11,683.08 = 5,154 : x
  2. Step 2: Convert to fraction form
    8,466/11,683.08 = 5,154/x
  3. Step 3: Cross multiply
    8,466x = 11,683.08 × 5,154
  4. Step 4: Simplify right side
    8,466x = 60,214,594.32
  5. Step 5: Solve for x
    x = 60,214,594.32/8,466
  6. Step 6: Final answer
    x = 7,112.52

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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.