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Finding the Fourth Proportional to 10,852.58, 14,972.15 and 7,074.42

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Solution

The fourth proportional to 10,852.58, 14,972.15 and 7,074.42 is: 9,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.58 : 14,972.15 = 7,074.42 : x
  2. Step 2: Convert to fraction form
    10,852.58/14,972.15 = 7,074.42/x
  3. Step 3: Cross multiply
    10,852.58x = 14,972.15 × 7,074.42
  4. Step 4: Simplify right side
    10,852.58x = 105,919,295.09
  5. Step 5: Solve for x
    x = 105,919,295.09/10,852.58
  6. Step 6: Final answer
    x = 9,759.82

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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.