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Finding the Fourth Proportional to 10,185.12, 15,257.94 and 5,958.14

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Solution

The fourth proportional to 10,185.12, 15,257.94 and 5,958.14 is: 8,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.12 : 15,257.94 = 5,958.14 : x
  2. Step 2: Convert to fraction form
    10,185.12/15,257.94 = 5,958.14/x
  3. Step 3: Cross multiply
    10,185.12x = 15,257.94 × 5,958.14
  4. Step 4: Simplify right side
    10,185.12x = 90,908,844.00
  5. Step 5: Solve for x
    x = 90,908,844.00/10,185.12
  6. Step 6: Final answer
    x = 8,925.65

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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.