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Finding the Fourth Proportional to 6,984.58, 10,475.34 and 4,478.25

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Solution

The fourth proportional to 6,984.58, 10,475.34 and 4,478.25 is: 6,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.58 : 10,475.34 = 4,478.25 : x
  2. Step 2: Convert to fraction form
    6,984.58/10,475.34 = 4,478.25/x
  3. Step 3: Cross multiply
    6,984.58x = 10,475.34 × 4,478.25
  4. Step 4: Simplify right side
    6,984.58x = 46,911,239.03
  5. Step 5: Solve for x
    x = 46,911,239.03/6,984.58
  6. Step 6: Final answer
    x = 6,716.40

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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.