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Finding the Fourth Proportional to 10,852.77, 14,972.41 and 7,074.61

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Solution

The fourth proportional to 10,852.77, 14,972.41 and 7,074.61 is: 9,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.77 : 14,972.41 = 7,074.61 : x
  2. Step 2: Convert to fraction form
    10,852.77/14,972.41 = 7,074.61/x
  3. Step 3: Cross multiply
    10,852.77x = 14,972.41 × 7,074.61
  4. Step 4: Simplify right side
    10,852.77x = 105,923,932.92
  5. Step 5: Solve for x
    x = 105,923,932.92/10,852.77
  6. Step 6: Final answer
    x = 9,760.08

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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.