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Finding the Fourth Proportional to 10,344.47, 15,504.56 and 4,786.08

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Solution

The fourth proportional to 10,344.47, 15,504.56 and 4,786.08 is: 7,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.47 : 15,504.56 = 4,786.08 : x
  2. Step 2: Convert to fraction form
    10,344.47/15,504.56 = 4,786.08/x
  3. Step 3: Cross multiply
    10,344.47x = 15,504.56 × 4,786.08
  4. Step 4: Simplify right side
    10,344.47x = 74,206,009.37
  5. Step 5: Solve for x
    x = 74,206,009.37/10,344.47
  6. Step 6: Final answer
    x = 7,173.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.