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Finding the Fourth Proportional to 10,285.90, 15,416.44 and 4,731.62

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Solution

The fourth proportional to 10,285.90, 15,416.44 and 4,731.62 is: 7,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.90 : 15,416.44 = 4,731.62 : x
  2. Step 2: Convert to fraction form
    10,285.90/15,416.44 = 4,731.62/x
  3. Step 3: Cross multiply
    10,285.90x = 15,416.44 × 4,731.62
  4. Step 4: Simplify right side
    10,285.90x = 72,944,762.54
  5. Step 5: Solve for x
    x = 72,944,762.54/10,285.90
  6. Step 6: Final answer
    x = 7,091.73

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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.