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Finding the Fourth Proportional to 10,422.57, 14,383.14 and 5,706.84

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Solution

The fourth proportional to 10,422.57, 14,383.14 and 5,706.84 is: 7,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.57 : 14,383.14 = 5,706.84 : x
  2. Step 2: Convert to fraction form
    10,422.57/14,383.14 = 5,706.84/x
  3. Step 3: Cross multiply
    10,422.57x = 14,383.14 × 5,706.84
  4. Step 4: Simplify right side
    10,422.57x = 82,082,278.68
  5. Step 5: Solve for x
    x = 82,082,278.68/10,422.57
  6. Step 6: Final answer
    x = 7,875.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.