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Finding the Fourth Proportional to 7,277.81, 10,916.69 and 2,083.69

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Solution

The fourth proportional to 7,277.81, 10,916.69 and 2,083.69 is: 3,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.81 : 10,916.69 = 2,083.69 : x
  2. Step 2: Convert to fraction form
    7,277.81/10,916.69 = 2,083.69/x
  3. Step 3: Cross multiply
    7,277.81x = 10,916.69 × 2,083.69
  4. Step 4: Simplify right side
    7,277.81x = 22,746,932.78
  5. Step 5: Solve for x
    x = 22,746,932.78/7,277.81
  6. Step 6: Final answer
    x = 3,125.52

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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.