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Finding the Fourth Proportional to 11,771.40, 17,657.10 and 2,886.72

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Solution

The fourth proportional to 11,771.40, 17,657.10 and 2,886.72 is: 4,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.40 : 17,657.10 = 2,886.72 : x
  2. Step 2: Convert to fraction form
    11,771.40/17,657.10 = 2,886.72/x
  3. Step 3: Cross multiply
    11,771.40x = 17,657.10 × 2,886.72
  4. Step 4: Simplify right side
    11,771.40x = 50,971,103.71
  5. Step 5: Solve for x
    x = 50,971,103.71/11,771.40
  6. Step 6: Final answer
    x = 4,330.08

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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.