Home / 7,823.79-11,737.67-2,277

Finding the Fourth Proportional to 7,823.79, 11,737.67 and 2,277

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Solution

The fourth proportional to 7,823.79, 11,737.67 and 2,277 is: 3,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.79 : 11,737.67 = 2,277 : x
  2. Step 2: Convert to fraction form
    7,823.79/11,737.67 = 2,277/x
  3. Step 3: Cross multiply
    7,823.79x = 11,737.67 × 2,277
  4. Step 4: Simplify right side
    7,823.79x = 26,726,663.21
  5. Step 5: Solve for x
    x = 26,726,663.21/7,823.79
  6. Step 6: Final answer
    x = 3,416.08

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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.