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Finding the Fourth Proportional to 7,109.63, 10,664.44 and 1,915.50

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Solution

The fourth proportional to 7,109.63, 10,664.44 and 1,915.50 is: 2,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.63 : 10,664.44 = 1,915.50 : x
  2. Step 2: Convert to fraction form
    7,109.63/10,664.44 = 1,915.50/x
  3. Step 3: Cross multiply
    7,109.63x = 10,664.44 × 1,915.50
  4. Step 4: Simplify right side
    7,109.63x = 20,427,730.03
  5. Step 5: Solve for x
    x = 20,427,730.03/7,109.63
  6. Step 6: Final answer
    x = 2,873.25

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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.