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Finding the Fourth Proportional to 7,711.68, 11,559.04 and 3,030.24

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Solution

The fourth proportional to 7,711.68, 11,559.04 and 3,030.24 is: 4,542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.68 : 11,559.04 = 3,030.24 : x
  2. Step 2: Convert to fraction form
    7,711.68/11,559.04 = 3,030.24/x
  3. Step 3: Cross multiply
    7,711.68x = 11,559.04 × 3,030.24
  4. Step 4: Simplify right side
    7,711.68x = 35,026,665.37
  5. Step 5: Solve for x
    x = 35,026,665.37/7,711.68
  6. Step 6: Final answer
    x = 4,542.03

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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.