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Finding the Fourth Proportional to 7,653.24, 11,473.38 and 3,033

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Solution

The fourth proportional to 7,653.24, 11,473.38 and 3,033 is: 4,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.24 : 11,473.38 = 3,033 : x
  2. Step 2: Convert to fraction form
    7,653.24/11,473.38 = 3,033/x
  3. Step 3: Cross multiply
    7,653.24x = 11,473.38 × 3,033
  4. Step 4: Simplify right side
    7,653.24x = 34,798,761.54
  5. Step 5: Solve for x
    x = 34,798,761.54/7,653.24
  6. Step 6: Final answer
    x = 4,546.93

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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.