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Finding the Fourth Proportional to 7,180.62, 10,762.97 and 3,019.40

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Solution

The fourth proportional to 7,180.62, 10,762.97 and 3,019.40 is: 4,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.62 : 10,762.97 = 3,019.40 : x
  2. Step 2: Convert to fraction form
    7,180.62/10,762.97 = 3,019.40/x
  3. Step 3: Cross multiply
    7,180.62x = 10,762.97 × 3,019.40
  4. Step 4: Simplify right side
    7,180.62x = 32,497,642.71
  5. Step 5: Solve for x
    x = 32,497,642.71/7,180.62
  6. Step 6: Final answer
    x = 4,525.74

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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.