Home / 7,823.57-11,737.86-2,277.25

Finding the Fourth Proportional to 7,823.57, 11,737.86 and 2,277.25

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Solution

The fourth proportional to 7,823.57, 11,737.86 and 2,277.25 is: 3,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.57 : 11,737.86 = 2,277.25 : x
  2. Step 2: Convert to fraction form
    7,823.57/11,737.86 = 2,277.25/x
  3. Step 3: Cross multiply
    7,823.57x = 11,737.86 × 2,277.25
  4. Step 4: Simplify right side
    7,823.57x = 26,730,012.34
  5. Step 5: Solve for x
    x = 26,730,012.34/7,823.57
  6. Step 6: Final answer
    x = 3,416.60

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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.