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Finding the Fourth Proportional to 10,123.50, 15,193.08 and 7,025.25

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Solution

The fourth proportional to 10,123.50, 15,193.08 and 7,025.25 is: 10,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.50 : 15,193.08 = 7,025.25 : x
  2. Step 2: Convert to fraction form
    10,123.50/15,193.08 = 7,025.25/x
  3. Step 3: Cross multiply
    10,123.50x = 15,193.08 × 7,025.25
  4. Step 4: Simplify right side
    10,123.50x = 106,735,185.27
  5. Step 5: Solve for x
    x = 106,735,185.27/10,123.50
  6. Step 6: Final answer
    x = 10,543.31

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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.