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Finding the Fourth Proportional to 7,743.02, 11,616.21 and 2,812.50

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Solution

The fourth proportional to 7,743.02, 11,616.21 and 2,812.50 is: 4,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.02 : 11,616.21 = 2,812.50 : x
  2. Step 2: Convert to fraction form
    7,743.02/11,616.21 = 2,812.50/x
  3. Step 3: Cross multiply
    7,743.02x = 11,616.21 × 2,812.50
  4. Step 4: Simplify right side
    7,743.02x = 32,670,590.63
  5. Step 5: Solve for x
    x = 32,670,590.63/7,743.02
  6. Step 6: Final answer
    x = 4,219.36

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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.