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Finding the Fourth Proportional to 10,867.12, 14,996.40 and 5,899.12

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Solution

The fourth proportional to 10,867.12, 14,996.40 and 5,899.12 is: 8,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.12 : 14,996.40 = 5,899.12 : x
  2. Step 2: Convert to fraction form
    10,867.12/14,996.40 = 5,899.12/x
  3. Step 3: Cross multiply
    10,867.12x = 14,996.40 × 5,899.12
  4. Step 4: Simplify right side
    10,867.12x = 88,465,563.17
  5. Step 5: Solve for x
    x = 88,465,563.17/10,867.12
  6. Step 6: Final answer
    x = 8,140.66

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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.