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Finding the Fourth Proportional to 6,895.52, 10,343.59 and 1,965.50

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Solution

The fourth proportional to 6,895.52, 10,343.59 and 1,965.50 is: 2,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.52 : 10,343.59 = 1,965.50 : x
  2. Step 2: Convert to fraction form
    6,895.52/10,343.59 = 1,965.50/x
  3. Step 3: Cross multiply
    6,895.52x = 10,343.59 × 1,965.50
  4. Step 4: Simplify right side
    6,895.52x = 20,330,326.15
  5. Step 5: Solve for x
    x = 20,330,326.15/6,895.52
  6. Step 6: Final answer
    x = 2,948.34

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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.