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Finding the Fourth Proportional to 10,071.94, 15,107.91 and 3,830.51

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Solution

The fourth proportional to 10,071.94, 15,107.91 and 3,830.51 is: 5,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.94 : 15,107.91 = 3,830.51 : x
  2. Step 2: Convert to fraction form
    10,071.94/15,107.91 = 3,830.51/x
  3. Step 3: Cross multiply
    10,071.94x = 15,107.91 × 3,830.51
  4. Step 4: Simplify right side
    10,071.94x = 57,871,000.33
  5. Step 5: Solve for x
    x = 57,871,000.33/10,071.94
  6. Step 6: Final answer
    x = 5,745.77

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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.