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Finding the Fourth Proportional to 7,465.81, 11,199.02 and 2,271.69

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Solution

The fourth proportional to 7,465.81, 11,199.02 and 2,271.69 is: 3,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.81 : 11,199.02 = 2,271.69 : x
  2. Step 2: Convert to fraction form
    7,465.81/11,199.02 = 2,271.69/x
  3. Step 3: Cross multiply
    7,465.81x = 11,199.02 × 2,271.69
  4. Step 4: Simplify right side
    7,465.81x = 25,440,701.74
  5. Step 5: Solve for x
    x = 25,440,701.74/7,465.81
  6. Step 6: Final answer
    x = 3,407.63

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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.