Home / 7,822.02-11,733.80-2,275.42

Finding the Fourth Proportional to 7,822.02, 11,733.80 and 2,275.42

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Solution

The fourth proportional to 7,822.02, 11,733.80 and 2,275.42 is: 3,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.02 : 11,733.80 = 2,275.42 : x
  2. Step 2: Convert to fraction form
    7,822.02/11,733.80 = 2,275.42/x
  3. Step 3: Cross multiply
    7,822.02x = 11,733.80 × 2,275.42
  4. Step 4: Simplify right side
    7,822.02x = 26,699,323.20
  5. Step 5: Solve for x
    x = 26,699,323.20/7,822.02
  6. Step 6: Final answer
    x = 3,413.35

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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.