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Finding the Fourth Proportional to 7,852.96, 10,836.56 and 4,316

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Solution

The fourth proportional to 7,852.96, 10,836.56 and 4,316 is: 5,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.96 : 10,836.56 = 4,316 : x
  2. Step 2: Convert to fraction form
    7,852.96/10,836.56 = 4,316/x
  3. Step 3: Cross multiply
    7,852.96x = 10,836.56 × 4,316
  4. Step 4: Simplify right side
    7,852.96x = 46,770,592.96
  5. Step 5: Solve for x
    x = 46,770,592.96/7,852.96
  6. Step 6: Final answer
    x = 5,955.79

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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.