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Finding the Fourth Proportional to 7,351.80, 11,026.50 and 2,087.16

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Solution

The fourth proportional to 7,351.80, 11,026.50 and 2,087.16 is: 3,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.80 : 11,026.50 = 2,087.16 : x
  2. Step 2: Convert to fraction form
    7,351.80/11,026.50 = 2,087.16/x
  3. Step 3: Cross multiply
    7,351.80x = 11,026.50 × 2,087.16
  4. Step 4: Simplify right side
    7,351.80x = 23,014,069.74
  5. Step 5: Solve for x
    x = 23,014,069.74/7,351.80
  6. Step 6: Final answer
    x = 3,130.40

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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.