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Finding the Fourth Proportional to 7,736.00, 11,598.98 and 2,804.99

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Solution

The fourth proportional to 7,736.00, 11,598.98 and 2,804.99 is: 4,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.00 : 11,598.98 = 2,804.99 : x
  2. Step 2: Convert to fraction form
    7,736.00/11,598.98 = 2,804.99/x
  3. Step 3: Cross multiply
    7,736.00x = 11,598.98 × 2,804.99
  4. Step 4: Simplify right side
    7,736.00x = 32,534,950.89
  5. Step 5: Solve for x
    x = 32,534,950.89/7,736.00
  6. Step 6: Final answer
    x = 4,205.66

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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.