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Finding the Fourth Proportional to 12,733.04, 19,106.04 and 5,806.64

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Solution

The fourth proportional to 12,733.04, 19,106.04 and 5,806.64 is: 8,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.04 : 19,106.04 = 5,806.64 : x
  2. Step 2: Convert to fraction form
    12,733.04/19,106.04 = 5,806.64/x
  3. Step 3: Cross multiply
    12,733.04x = 19,106.04 × 5,806.64
  4. Step 4: Simplify right side
    12,733.04x = 110,941,896.11
  5. Step 5: Solve for x
    x = 110,941,896.11/12,733.04
  6. Step 6: Final answer
    x = 8,712.92

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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.