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Finding the Fourth Proportional to 7,842.41, 11,765.90 and 3,160.00

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Solution

The fourth proportional to 7,842.41, 11,765.90 and 3,160.00 is: 4,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.41 : 11,765.90 = 3,160.00 : x
  2. Step 2: Convert to fraction form
    7,842.41/11,765.90 = 3,160.00/x
  3. Step 3: Cross multiply
    7,842.41x = 11,765.90 × 3,160.00
  4. Step 4: Simplify right side
    7,842.41x = 37,180,185.17
  5. Step 5: Solve for x
    x = 37,180,185.17/7,842.41
  6. Step 6: Final answer
    x = 4,740.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.