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Finding the Fourth Proportional to 10,186.73, 15,349.52 and 8,378.36

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Solution

The fourth proportional to 10,186.73, 15,349.52 and 8,378.36 is: 12,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.73 : 15,349.52 = 8,378.36 : x
  2. Step 2: Convert to fraction form
    10,186.73/15,349.52 = 8,378.36/x
  3. Step 3: Cross multiply
    10,186.73x = 15,349.52 × 8,378.36
  4. Step 4: Simplify right side
    10,186.73x = 128,603,804.39
  5. Step 5: Solve for x
    x = 128,603,804.39/10,186.73
  6. Step 6: Final answer
    x = 12,624.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.