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Finding the Fourth Proportional to 7,526.40, 11,296.40 and 3,831.20

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Solution

The fourth proportional to 7,526.40, 11,296.40 and 3,831.20 is: 5,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,526.40 : 11,296.40 = 3,831.20 : x
  2. Step 2: Convert to fraction form
    7,526.40/11,296.40 = 3,831.20/x
  3. Step 3: Cross multiply
    7,526.40x = 11,296.40 × 3,831.20
  4. Step 4: Simplify right side
    7,526.40x = 43,278,767.68
  5. Step 5: Solve for x
    x = 43,278,767.68/7,526.40
  6. Step 6: Final answer
    x = 5,750.26

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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.