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Finding the Fourth Proportional to 10,004.52, 13,806.72 and 6,026.88

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Solution

The fourth proportional to 10,004.52, 13,806.72 and 6,026.88 is: 8,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.52 : 13,806.72 = 6,026.88 : x
  2. Step 2: Convert to fraction form
    10,004.52/13,806.72 = 6,026.88/x
  3. Step 3: Cross multiply
    10,004.52x = 13,806.72 × 6,026.88
  4. Step 4: Simplify right side
    10,004.52x = 83,211,444.63
  5. Step 5: Solve for x
    x = 83,211,444.63/10,004.52
  6. Step 6: Final answer
    x = 8,317.39

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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.