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Finding the Fourth Proportional to 7,703.30, 11,554.95 and 3,089.54

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Solution

The fourth proportional to 7,703.30, 11,554.95 and 3,089.54 is: 4,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.30 : 11,554.95 = 3,089.54 : x
  2. Step 2: Convert to fraction form
    7,703.30/11,554.95 = 3,089.54/x
  3. Step 3: Cross multiply
    7,703.30x = 11,554.95 × 3,089.54
  4. Step 4: Simplify right side
    7,703.30x = 35,699,520.70
  5. Step 5: Solve for x
    x = 35,699,520.70/7,703.30
  6. Step 6: Final answer
    x = 4,634.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.