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Finding the Fourth Proportional to 10,494.14, 14,482.94 and 7,836.93

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Solution

The fourth proportional to 10,494.14, 14,482.94 and 7,836.93 is: 10,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.14 : 14,482.94 = 7,836.93 : x
  2. Step 2: Convert to fraction form
    10,494.14/14,482.94 = 7,836.93/x
  3. Step 3: Cross multiply
    10,494.14x = 14,482.94 × 7,836.93
  4. Step 4: Simplify right side
    10,494.14x = 113,501,811.90
  5. Step 5: Solve for x
    x = 113,501,811.90/10,494.14
  6. Step 6: Final answer
    x = 10,815.73

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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.