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Finding the Fourth Proportional to 7,596.63, 11,394.81 and 2,402.51

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Solution

The fourth proportional to 7,596.63, 11,394.81 and 2,402.51 is: 3,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.63 : 11,394.81 = 2,402.51 : x
  2. Step 2: Convert to fraction form
    7,596.63/11,394.81 = 2,402.51/x
  3. Step 3: Cross multiply
    7,596.63x = 11,394.81 × 2,402.51
  4. Step 4: Simplify right side
    7,596.63x = 27,376,088.00
  5. Step 5: Solve for x
    x = 27,376,088.00/7,596.63
  6. Step 6: Final answer
    x = 3,603.71

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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.