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Finding the Fourth Proportional to 8,466, 11,683.14 and 4,740

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Solution

The fourth proportional to 8,466, 11,683.14 and 4,740 is: 6,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466 : 11,683.14 = 4,740 : x
  2. Step 2: Convert to fraction form
    8,466/11,683.14 = 4,740/x
  3. Step 3: Cross multiply
    8,466x = 11,683.14 × 4,740
  4. Step 4: Simplify right side
    8,466x = 55,378,083.60
  5. Step 5: Solve for x
    x = 55,378,083.60/8,466
  6. Step 6: Final answer
    x = 6,541.23

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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.