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Finding the Fourth Proportional to 10,073.10, 15,106.07 and 3,831.45

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Solution

The fourth proportional to 10,073.10, 15,106.07 and 3,831.45 is: 5,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.10 : 15,106.07 = 3,831.45 : x
  2. Step 2: Convert to fraction form
    10,073.10/15,106.07 = 3,831.45/x
  3. Step 3: Cross multiply
    10,073.10x = 15,106.07 × 3,831.45
  4. Step 4: Simplify right side
    10,073.10x = 57,878,132.74
  5. Step 5: Solve for x
    x = 57,878,132.74/10,073.10
  6. Step 6: Final answer
    x = 5,745.81

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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.