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Finding the Fourth Proportional to 10,285.44, 15,415.82 and 4,731.14

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Solution

The fourth proportional to 10,285.44, 15,415.82 and 4,731.14 is: 7,091.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.44 : 15,415.82 = 4,731.14 : x
  2. Step 2: Convert to fraction form
    10,285.44/15,415.82 = 4,731.14/x
  3. Step 3: Cross multiply
    10,285.44x = 15,415.82 × 4,731.14
  4. Step 4: Simplify right side
    10,285.44x = 72,934,402.63
  5. Step 5: Solve for x
    x = 72,934,402.63/10,285.44
  6. Step 6: Final answer
    x = 7,091.03

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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.