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Finding the Fourth Proportional to 8,512, 11,746.58 and 4,977.16

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Solution

The fourth proportional to 8,512, 11,746.58 and 4,977.16 is: 6,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512 : 11,746.58 = 4,977.16 : x
  2. Step 2: Convert to fraction form
    8,512/11,746.58 = 4,977.16/x
  3. Step 3: Cross multiply
    8,512x = 11,746.58 × 4,977.16
  4. Step 4: Simplify right side
    8,512x = 58,464,608.11
  5. Step 5: Solve for x
    x = 58,464,608.11/8,512
  6. Step 6: Final answer
    x = 6,868.49

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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.