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Finding the Fourth Proportional to 8,387.12, 11,576.80 and 5,402.94

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Solution

The fourth proportional to 8,387.12, 11,576.80 and 5,402.94 is: 7,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.12 : 11,576.80 = 5,402.94 : x
  2. Step 2: Convert to fraction form
    8,387.12/11,576.80 = 5,402.94/x
  3. Step 3: Cross multiply
    8,387.12x = 11,576.80 × 5,402.94
  4. Step 4: Simplify right side
    8,387.12x = 62,548,742.28
  5. Step 5: Solve for x
    x = 62,548,742.28/8,387.12
  6. Step 6: Final answer
    x = 7,457.72

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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.