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Finding the Fourth Proportional to 7,361.51, 11,044.08 and 3,465

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Solution

The fourth proportional to 7,361.51, 11,044.08 and 3,465 is: 5,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.51 : 11,044.08 = 3,465 : x
  2. Step 2: Convert to fraction form
    7,361.51/11,044.08 = 3,465/x
  3. Step 3: Cross multiply
    7,361.51x = 11,044.08 × 3,465
  4. Step 4: Simplify right side
    7,361.51x = 38,267,737.20
  5. Step 5: Solve for x
    x = 38,267,737.20/7,361.51
  6. Step 6: Final answer
    x = 5,198.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.