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Finding the Fourth Proportional to 7,689.51, 11,537.46 and 3,248.28

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Solution

The fourth proportional to 7,689.51, 11,537.46 and 3,248.28 is: 4,873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.51 : 11,537.46 = 3,248.28 : x
  2. Step 2: Convert to fraction form
    7,689.51/11,537.46 = 3,248.28/x
  3. Step 3: Cross multiply
    7,689.51x = 11,537.46 × 3,248.28
  4. Step 4: Simplify right side
    7,689.51x = 37,476,900.57
  5. Step 5: Solve for x
    x = 37,476,900.57/7,689.51
  6. Step 6: Final answer
    x = 4,873.77

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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.