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Finding the Fourth Proportional to 10,443.12, 14,410.71 and 5,966.70

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Solution

The fourth proportional to 10,443.12, 14,410.71 and 5,966.70 is: 8,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.12 : 14,410.71 = 5,966.70 : x
  2. Step 2: Convert to fraction form
    10,443.12/14,410.71 = 5,966.70/x
  3. Step 3: Cross multiply
    10,443.12x = 14,410.71 × 5,966.70
  4. Step 4: Simplify right side
    10,443.12x = 85,984,383.36
  5. Step 5: Solve for x
    x = 85,984,383.36/10,443.12
  6. Step 6: Final answer
    x = 8,233.59

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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.