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Finding the Fourth Proportional to 7,703.48, 11,555.60 and 3,023.07

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Solution

The fourth proportional to 7,703.48, 11,555.60 and 3,023.07 is: 4,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.48 : 11,555.60 = 3,023.07 : x
  2. Step 2: Convert to fraction form
    7,703.48/11,555.60 = 3,023.07/x
  3. Step 3: Cross multiply
    7,703.48x = 11,555.60 × 3,023.07
  4. Step 4: Simplify right side
    7,703.48x = 34,933,372.58
  5. Step 5: Solve for x
    x = 34,933,372.58/7,703.48
  6. Step 6: Final answer
    x = 4,534.76

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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.