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Finding the Fourth Proportional to 13,750.40, 18,975.72 and 7,463

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Solution

The fourth proportional to 13,750.40, 18,975.72 and 7,463 is: 10,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.40 : 18,975.72 = 7,463 : x
  2. Step 2: Convert to fraction form
    13,750.40/18,975.72 = 7,463/x
  3. Step 3: Cross multiply
    13,750.40x = 18,975.72 × 7,463
  4. Step 4: Simplify right side
    13,750.40x = 141,615,798.36
  5. Step 5: Solve for x
    x = 141,615,798.36/13,750.40
  6. Step 6: Final answer
    x = 10,299.03

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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.