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Finding the Fourth Proportional to 7,823.00, 10,797.02 and 4,465.95

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Solution

The fourth proportional to 7,823.00, 10,797.02 and 4,465.95 is: 6,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.00 : 10,797.02 = 4,465.95 : x
  2. Step 2: Convert to fraction form
    7,823.00/10,797.02 = 4,465.95/x
  3. Step 3: Cross multiply
    7,823.00x = 10,797.02 × 4,465.95
  4. Step 4: Simplify right side
    7,823.00x = 48,218,929.14
  5. Step 5: Solve for x
    x = 48,218,929.14/7,823.00
  6. Step 6: Final answer
    x = 6,163.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.