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Finding the Fourth Proportional to 10,285.15, 15,428.03 and 7,119.47

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Solution

The fourth proportional to 10,285.15, 15,428.03 and 7,119.47 is: 10,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.15 : 15,428.03 = 7,119.47 : x
  2. Step 2: Convert to fraction form
    10,285.15/15,428.03 = 7,119.47/x
  3. Step 3: Cross multiply
    10,285.15x = 15,428.03 × 7,119.47
  4. Step 4: Simplify right side
    10,285.15x = 109,839,396.74
  5. Step 5: Solve for x
    x = 109,839,396.74/10,285.15
  6. Step 6: Final answer
    x = 10,679.42

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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.