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Finding the Fourth Proportional to 10,023.75, 15,035.63 and 3,098.25

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Solution

The fourth proportional to 10,023.75, 15,035.63 and 3,098.25 is: 4,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.75 : 15,035.63 = 3,098.25 : x
  2. Step 2: Convert to fraction form
    10,023.75/15,035.63 = 3,098.25/x
  3. Step 3: Cross multiply
    10,023.75x = 15,035.63 × 3,098.25
  4. Step 4: Simplify right side
    10,023.75x = 46,584,125.16
  5. Step 5: Solve for x
    x = 46,584,125.16/10,023.75
  6. Step 6: Final answer
    x = 4,647.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.