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Finding the Fourth Proportional to 12,806.51, 19,203.08 and 6,045.03

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Solution

The fourth proportional to 12,806.51, 19,203.08 and 6,045.03 is: 9,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.51 : 19,203.08 = 6,045.03 : x
  2. Step 2: Convert to fraction form
    12,806.51/19,203.08 = 6,045.03/x
  3. Step 3: Cross multiply
    12,806.51x = 19,203.08 × 6,045.03
  4. Step 4: Simplify right side
    12,806.51x = 116,083,164.47
  5. Step 5: Solve for x
    x = 116,083,164.47/12,806.51
  6. Step 6: Final answer
    x = 9,064.39

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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.