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Finding the Fourth Proportional to 7,125.48, 10,678.91 and 3,831.48

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Solution

The fourth proportional to 7,125.48, 10,678.91 and 3,831.48 is: 5,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.48 : 10,678.91 = 3,831.48 : x
  2. Step 2: Convert to fraction form
    7,125.48/10,678.91 = 3,831.48/x
  3. Step 3: Cross multiply
    7,125.48x = 10,678.91 × 3,831.48
  4. Step 4: Simplify right side
    7,125.48x = 40,916,030.09
  5. Step 5: Solve for x
    x = 40,916,030.09/7,125.48
  6. Step 6: Final answer
    x = 5,742.21

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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.