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Finding the Fourth Proportional to 6,847.50, 10,271.88 and 1,917.14

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Solution

The fourth proportional to 6,847.50, 10,271.88 and 1,917.14 is: 2,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.50 : 10,271.88 = 1,917.14 : x
  2. Step 2: Convert to fraction form
    6,847.50/10,271.88 = 1,917.14/x
  3. Step 3: Cross multiply
    6,847.50x = 10,271.88 × 1,917.14
  4. Step 4: Simplify right side
    6,847.50x = 19,692,580.66
  5. Step 5: Solve for x
    x = 19,692,580.66/6,847.50
  6. Step 6: Final answer
    x = 2,875.88

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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.