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Finding the Fourth Proportional to 10,283.95, 15,390.82 and 6,533.83

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Solution

The fourth proportional to 10,283.95, 15,390.82 and 6,533.83 is: 9,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.95 : 15,390.82 = 6,533.83 : x
  2. Step 2: Convert to fraction form
    10,283.95/15,390.82 = 6,533.83/x
  3. Step 3: Cross multiply
    10,283.95x = 15,390.82 × 6,533.83
  4. Step 4: Simplify right side
    10,283.95x = 100,561,001.44
  5. Step 5: Solve for x
    x = 100,561,001.44/10,283.95
  6. Step 6: Final answer
    x = 9,778.44

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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.