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Finding the Fourth Proportional to 7,803.66, 11,703.73 and 2,255.76

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Solution

The fourth proportional to 7,803.66, 11,703.73 and 2,255.76 is: 3,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.66 : 11,703.73 = 2,255.76 : x
  2. Step 2: Convert to fraction form
    7,803.66/11,703.73 = 2,255.76/x
  3. Step 3: Cross multiply
    7,803.66x = 11,703.73 × 2,255.76
  4. Step 4: Simplify right side
    7,803.66x = 26,400,829.60
  5. Step 5: Solve for x
    x = 26,400,829.60/7,803.66
  6. Step 6: Final answer
    x = 3,383.14

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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.