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Finding the Fourth Proportional to 10,850.64, 14,975.69 and 6,134.01

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Solution

The fourth proportional to 10,850.64, 14,975.69 and 6,134.01 is: 8,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.64 : 14,975.69 = 6,134.01 : x
  2. Step 2: Convert to fraction form
    10,850.64/14,975.69 = 6,134.01/x
  3. Step 3: Cross multiply
    10,850.64x = 14,975.69 × 6,134.01
  4. Step 4: Simplify right side
    10,850.64x = 91,861,001.55
  5. Step 5: Solve for x
    x = 91,861,001.55/10,850.64
  6. Step 6: Final answer
    x = 8,465.95

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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.