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Finding the Fourth Proportional to 6,871.60, 10,302.54 and 3,362.68

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Solution

The fourth proportional to 6,871.60, 10,302.54 and 3,362.68 is: 5,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.60 : 10,302.54 = 3,362.68 : x
  2. Step 2: Convert to fraction form
    6,871.60/10,302.54 = 3,362.68/x
  3. Step 3: Cross multiply
    6,871.60x = 10,302.54 × 3,362.68
  4. Step 4: Simplify right side
    6,871.60x = 34,644,145.21
  5. Step 5: Solve for x
    x = 34,644,145.21/6,871.60
  6. Step 6: Final answer
    x = 5,041.64

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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.