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Finding the Fourth Proportional to 7,166.64, 10,746.48 and 2,725.08

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Solution

The fourth proportional to 7,166.64, 10,746.48 and 2,725.08 is: 4,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.64 : 10,746.48 = 2,725.08 : x
  2. Step 2: Convert to fraction form
    7,166.64/10,746.48 = 2,725.08/x
  3. Step 3: Cross multiply
    7,166.64x = 10,746.48 × 2,725.08
  4. Step 4: Simplify right side
    7,166.64x = 29,285,017.72
  5. Step 5: Solve for x
    x = 29,285,017.72/7,166.64
  6. Step 6: Final answer
    x = 4,086.30

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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.