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Finding the Fourth Proportional to 7,411.90, 10,228.68 and 4,225.67

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Solution

The fourth proportional to 7,411.90, 10,228.68 and 4,225.67 is: 5,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.90 : 10,228.68 = 4,225.67 : x
  2. Step 2: Convert to fraction form
    7,411.90/10,228.68 = 4,225.67/x
  3. Step 3: Cross multiply
    7,411.90x = 10,228.68 × 4,225.67
  4. Step 4: Simplify right side
    7,411.90x = 43,223,024.69
  5. Step 5: Solve for x
    x = 43,223,024.69/7,411.90
  6. Step 6: Final answer
    x = 5,831.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.