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Finding the Fourth Proportional to 6,984.45, 10,458.45 and 5,514.30

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Solution

The fourth proportional to 6,984.45, 10,458.45 and 5,514.30 is: 8,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.45 : 10,458.45 = 5,514.30 : x
  2. Step 2: Convert to fraction form
    6,984.45/10,458.45 = 5,514.30/x
  3. Step 3: Cross multiply
    6,984.45x = 10,458.45 × 5,514.30
  4. Step 4: Simplify right side
    6,984.45x = 57,671,030.84
  5. Step 5: Solve for x
    x = 57,671,030.84/6,984.45
  6. Step 6: Final answer
    x = 8,257.06

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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.