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Finding the Fourth Proportional to 10,484.14, 15,729.99 and 5,286.10

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Solution

The fourth proportional to 10,484.14, 15,729.99 and 5,286.10 is: 7,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.14 : 15,729.99 = 5,286.10 : x
  2. Step 2: Convert to fraction form
    10,484.14/15,729.99 = 5,286.10/x
  3. Step 3: Cross multiply
    10,484.14x = 15,729.99 × 5,286.10
  4. Step 4: Simplify right side
    10,484.14x = 83,150,300.14
  5. Step 5: Solve for x
    x = 83,150,300.14/10,484.14
  6. Step 6: Final answer
    x = 7,931.06

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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.