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Finding the Fourth Proportional to 10,158.56, 14,020.64 and 5,967.04

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Solution

The fourth proportional to 10,158.56, 14,020.64 and 5,967.04 is: 8,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.56 : 14,020.64 = 5,967.04 : x
  2. Step 2: Convert to fraction form
    10,158.56/14,020.64 = 5,967.04/x
  3. Step 3: Cross multiply
    10,158.56x = 14,020.64 × 5,967.04
  4. Step 4: Simplify right side
    10,158.56x = 83,661,719.71
  5. Step 5: Solve for x
    x = 83,661,719.71/10,158.56
  6. Step 6: Final answer
    x = 8,235.59

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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.