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Finding the Fourth Proportional to 7,852.57, 10,836.56 and 4,315.99

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Solution

The fourth proportional to 7,852.57, 10,836.56 and 4,315.99 is: 5,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.57 : 10,836.56 = 4,315.99 : x
  2. Step 2: Convert to fraction form
    7,852.57/10,836.56 = 4,315.99/x
  3. Step 3: Cross multiply
    7,852.57x = 10,836.56 × 4,315.99
  4. Step 4: Simplify right side
    7,852.57x = 46,770,484.59
  5. Step 5: Solve for x
    x = 46,770,484.59/7,852.57
  6. Step 6: Final answer
    x = 5,956.07

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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.