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Finding the Fourth Proportional to 7,703.34, 11,556.74 and 2,773.00

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Solution

The fourth proportional to 7,703.34, 11,556.74 and 2,773.00 is: 4,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.34 : 11,556.74 = 2,773.00 : x
  2. Step 2: Convert to fraction form
    7,703.34/11,556.74 = 2,773.00/x
  3. Step 3: Cross multiply
    7,703.34x = 11,556.74 × 2,773.00
  4. Step 4: Simplify right side
    7,703.34x = 32,046,861.40
  5. Step 5: Solve for x
    x = 32,046,861.40/7,703.34
  6. Step 6: Final answer
    x = 4,160.13

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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.