Home / 7,822.40-11,733.63-2,275.76

Finding the Fourth Proportional to 7,822.40, 11,733.63 and 2,275.76

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Solution

The fourth proportional to 7,822.40, 11,733.63 and 2,275.76 is: 3,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.40 : 11,733.63 = 2,275.76 : x
  2. Step 2: Convert to fraction form
    7,822.40/11,733.63 = 2,275.76/x
  3. Step 3: Cross multiply
    7,822.40x = 11,733.63 × 2,275.76
  4. Step 4: Simplify right side
    7,822.40x = 26,702,925.81
  5. Step 5: Solve for x
    x = 26,702,925.81/7,822.40
  6. Step 6: Final answer
    x = 3,413.65

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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.