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Finding the Fourth Proportional to 10,562.05, 15,842.73 and 5,019.40

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Solution

The fourth proportional to 10,562.05, 15,842.73 and 5,019.40 is: 7,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.05 : 15,842.73 = 5,019.40 : x
  2. Step 2: Convert to fraction form
    10,562.05/15,842.73 = 5,019.40/x
  3. Step 3: Cross multiply
    10,562.05x = 15,842.73 × 5,019.40
  4. Step 4: Simplify right side
    10,562.05x = 79,520,919.75
  5. Step 5: Solve for x
    x = 79,520,919.75/10,562.05
  6. Step 6: Final answer
    x = 7,528.93

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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.