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Finding the Fourth Proportional to 12,164.52, 16,788.06 and 7,448.52

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Solution

The fourth proportional to 12,164.52, 16,788.06 and 7,448.52 is: 10,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.52 : 16,788.06 = 7,448.52 : x
  2. Step 2: Convert to fraction form
    12,164.52/16,788.06 = 7,448.52/x
  3. Step 3: Cross multiply
    12,164.52x = 16,788.06 × 7,448.52
  4. Step 4: Simplify right side
    12,164.52x = 125,046,200.67
  5. Step 5: Solve for x
    x = 125,046,200.67/12,164.52
  6. Step 6: Final answer
    x = 10,279.58

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