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Finding the Fourth Proportional to 7,281.63, 10,924.26 and 2,087.50

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Solution

The fourth proportional to 7,281.63, 10,924.26 and 2,087.50 is: 3,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.63 : 10,924.26 = 2,087.50 : x
  2. Step 2: Convert to fraction form
    7,281.63/10,924.26 = 2,087.50/x
  3. Step 3: Cross multiply
    7,281.63x = 10,924.26 × 2,087.50
  4. Step 4: Simplify right side
    7,281.63x = 22,804,392.75
  5. Step 5: Solve for x
    x = 22,804,392.75/7,281.63
  6. Step 6: Final answer
    x = 3,131.77

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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.