Home / 7,823.49-11,734.02-2,275.70

Finding the Fourth Proportional to 7,823.49, 11,734.02 and 2,275.70

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Solution

The fourth proportional to 7,823.49, 11,734.02 and 2,275.70 is: 3,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.49 : 11,734.02 = 2,275.70 : x
  2. Step 2: Convert to fraction form
    7,823.49/11,734.02 = 2,275.70/x
  3. Step 3: Cross multiply
    7,823.49x = 11,734.02 × 2,275.70
  4. Step 4: Simplify right side
    7,823.49x = 26,703,050.64
  5. Step 5: Solve for x
    x = 26,703,050.64/7,823.49
  6. Step 6: Final answer
    x = 3,413.19

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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.