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Finding the Fourth Proportional to 7,647.68, 11,473.32 and 3,030.68

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Solution

The fourth proportional to 7,647.68, 11,473.32 and 3,030.68 is: 4,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.68 : 11,473.32 = 3,030.68 : x
  2. Step 2: Convert to fraction form
    7,647.68/11,473.32 = 3,030.68/x
  3. Step 3: Cross multiply
    7,647.68x = 11,473.32 × 3,030.68
  4. Step 4: Simplify right side
    7,647.68x = 34,771,961.46
  5. Step 5: Solve for x
    x = 34,771,961.46/7,647.68
  6. Step 6: Final answer
    x = 4,546.73

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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.