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Finding the Fourth Proportional to 8,410.33, 12,659.35 and 7,141.87

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Solution

The fourth proportional to 8,410.33, 12,659.35 and 7,141.87 is: 10,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.33 : 12,659.35 = 7,141.87 : x
  2. Step 2: Convert to fraction form
    8,410.33/12,659.35 = 7,141.87/x
  3. Step 3: Cross multiply
    8,410.33x = 12,659.35 × 7,141.87
  4. Step 4: Simplify right side
    8,410.33x = 90,411,431.98
  5. Step 5: Solve for x
    x = 90,411,431.98/8,410.33
  6. Step 6: Final answer
    x = 10,750.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.