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Finding the Fourth Proportional to 7,281.76, 10,923.05 and 2,087.50

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Solution

The fourth proportional to 7,281.76, 10,923.05 and 2,087.50 is: 3,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.76 : 10,923.05 = 2,087.50 : x
  2. Step 2: Convert to fraction form
    7,281.76/10,923.05 = 2,087.50/x
  3. Step 3: Cross multiply
    7,281.76x = 10,923.05 × 2,087.50
  4. Step 4: Simplify right side
    7,281.76x = 22,801,866.88
  5. Step 5: Solve for x
    x = 22,801,866.88/7,281.76
  6. Step 6: Final answer
    x = 3,131.37

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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.