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Finding the Fourth Proportional to 10,346.67, 15,507.05 and 5,154.03

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Solution

The fourth proportional to 10,346.67, 15,507.05 and 5,154.03 is: 7,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.67 : 15,507.05 = 5,154.03 : x
  2. Step 2: Convert to fraction form
    10,346.67/15,507.05 = 5,154.03/x
  3. Step 3: Cross multiply
    10,346.67x = 15,507.05 × 5,154.03
  4. Step 4: Simplify right side
    10,346.67x = 79,923,775.14
  5. Step 5: Solve for x
    x = 79,923,775.14/10,346.67
  6. Step 6: Final answer
    x = 7,724.59

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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.