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Finding the Fourth Proportional to 10,138.01, 15,185.07 and 6,431.04

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Solution

The fourth proportional to 10,138.01, 15,185.07 and 6,431.04 is: 9,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.01 : 15,185.07 = 6,431.04 : x
  2. Step 2: Convert to fraction form
    10,138.01/15,185.07 = 6,431.04/x
  3. Step 3: Cross multiply
    10,138.01x = 15,185.07 × 6,431.04
  4. Step 4: Simplify right side
    10,138.01x = 97,655,792.57
  5. Step 5: Solve for x
    x = 97,655,792.57/10,138.01
  6. Step 6: Final answer
    x = 9,632.64

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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.