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Finding the Fourth Proportional to 10,253.94, 14,151.11 and 7,731.60

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Solution

The fourth proportional to 10,253.94, 14,151.11 and 7,731.60 is: 10,670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.94 : 14,151.11 = 7,731.60 : x
  2. Step 2: Convert to fraction form
    10,253.94/14,151.11 = 7,731.60/x
  3. Step 3: Cross multiply
    10,253.94x = 14,151.11 × 7,731.60
  4. Step 4: Simplify right side
    10,253.94x = 109,410,683.42
  5. Step 5: Solve for x
    x = 109,410,683.42/10,253.94
  6. Step 6: Final answer
    x = 10,670.11

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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.