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Finding the Fourth Proportional to 10,493.75, 14,482.69 and 6,017.42

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Solution

The fourth proportional to 10,493.75, 14,482.69 and 6,017.42 is: 8,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.75 : 14,482.69 = 6,017.42 : x
  2. Step 2: Convert to fraction form
    10,493.75/14,482.69 = 6,017.42/x
  3. Step 3: Cross multiply
    10,493.75x = 14,482.69 × 6,017.42
  4. Step 4: Simplify right side
    10,493.75x = 87,148,449.62
  5. Step 5: Solve for x
    x = 87,148,449.62/10,493.75
  6. Step 6: Final answer
    x = 8,304.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.