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Finding the Fourth Proportional to 10,483.89, 15,729.62 and 5,285.85

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Solution

The fourth proportional to 10,483.89, 15,729.62 and 5,285.85 is: 7,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.89 : 15,729.62 = 5,285.85 : x
  2. Step 2: Convert to fraction form
    10,483.89/15,729.62 = 5,285.85/x
  3. Step 3: Cross multiply
    10,483.89x = 15,729.62 × 5,285.85
  4. Step 4: Simplify right side
    10,483.89x = 83,144,385.45
  5. Step 5: Solve for x
    x = 83,144,385.45/10,483.89
  6. Step 6: Final answer
    x = 7,930.68

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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.