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Finding the Fourth Proportional to 7,842.61, 11,775.59 and 3,171.74

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Solution

The fourth proportional to 7,842.61, 11,775.59 and 3,171.74 is: 4,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.61 : 11,775.59 = 3,171.74 : x
  2. Step 2: Convert to fraction form
    7,842.61/11,775.59 = 3,171.74/x
  3. Step 3: Cross multiply
    7,842.61x = 11,775.59 × 3,171.74
  4. Step 4: Simplify right side
    7,842.61x = 37,349,109.83
  5. Step 5: Solve for x
    x = 37,349,109.83/7,842.61
  6. Step 6: Final answer
    x = 4,762.33

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