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Finding the Fourth Proportional to 10,830.58, 16,245.87 and 6,959.59

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Solution

The fourth proportional to 10,830.58, 16,245.87 and 6,959.59 is: 10,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.58 : 16,245.87 = 6,959.59 : x
  2. Step 2: Convert to fraction form
    10,830.58/16,245.87 = 6,959.59/x
  3. Step 3: Cross multiply
    10,830.58x = 16,245.87 × 6,959.59
  4. Step 4: Simplify right side
    10,830.58x = 113,064,594.39
  5. Step 5: Solve for x
    x = 113,064,594.39/10,830.58
  6. Step 6: Final answer
    x = 10,439.39

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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.