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Finding the Fourth Proportional to 11,445.09, 15,788.68 and 7,201.36

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Solution

The fourth proportional to 11,445.09, 15,788.68 and 7,201.36 is: 9,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.09 : 15,788.68 = 7,201.36 : x
  2. Step 2: Convert to fraction form
    11,445.09/15,788.68 = 7,201.36/x
  3. Step 3: Cross multiply
    11,445.09x = 15,788.68 × 7,201.36
  4. Step 4: Simplify right side
    11,445.09x = 113,699,968.60
  5. Step 5: Solve for x
    x = 113,699,968.60/11,445.09
  6. Step 6: Final answer
    x = 9,934.39

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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.