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Finding the Fourth Proportional to 7,689.39, 11,538.57 and 3,009.17

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Solution

The fourth proportional to 7,689.39, 11,538.57 and 3,009.17 is: 4,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.39 : 11,538.57 = 3,009.17 : x
  2. Step 2: Convert to fraction form
    7,689.39/11,538.57 = 3,009.17/x
  3. Step 3: Cross multiply
    7,689.39x = 11,538.57 × 3,009.17
  4. Step 4: Simplify right side
    7,689.39x = 34,721,460.99
  5. Step 5: Solve for x
    x = 34,721,460.99/7,689.39
  6. Step 6: Final answer
    x = 4,515.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.