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Finding the Fourth Proportional to 10,689.10, 14,760.02 and 8,031.89

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Solution

The fourth proportional to 10,689.10, 14,760.02 and 8,031.89 is: 11,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.10 : 14,760.02 = 8,031.89 : x
  2. Step 2: Convert to fraction form
    10,689.10/14,760.02 = 8,031.89/x
  3. Step 3: Cross multiply
    10,689.10x = 14,760.02 × 8,031.89
  4. Step 4: Simplify right side
    10,689.10x = 118,550,857.04
  5. Step 5: Solve for x
    x = 118,550,857.04/10,689.10
  6. Step 6: Final answer
    x = 11,090.82

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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.