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Finding the Fourth Proportional to 10,285.45, 15,415.81 and 4,731.14

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Solution

The fourth proportional to 10,285.45, 15,415.81 and 4,731.14 is: 7,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.45 : 15,415.81 = 4,731.14 : x
  2. Step 2: Convert to fraction form
    10,285.45/15,415.81 = 4,731.14/x
  3. Step 3: Cross multiply
    10,285.45x = 15,415.81 × 4,731.14
  4. Step 4: Simplify right side
    10,285.45x = 72,934,355.32
  5. Step 5: Solve for x
    x = 72,934,355.32/10,285.45
  6. Step 6: Final answer
    x = 7,091.02

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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.