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Finding the Fourth Proportional to 10,071, 15,104.04 and 3,831.72

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Solution

The fourth proportional to 10,071, 15,104.04 and 3,831.72 is: 5,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071 : 15,104.04 = 3,831.72 : x
  2. Step 2: Convert to fraction form
    10,071/15,104.04 = 3,831.72/x
  3. Step 3: Cross multiply
    10,071x = 15,104.04 × 3,831.72
  4. Step 4: Simplify right side
    10,071x = 57,874,452.15
  5. Step 5: Solve for x
    x = 57,874,452.15/10,071
  6. Step 6: Final answer
    x = 5,746.64

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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.