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Finding the Fourth Proportional to 10,686.56, 14,749.98 and 6,494

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Solution

The fourth proportional to 10,686.56, 14,749.98 and 6,494 is: 8,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.56 : 14,749.98 = 6,494 : x
  2. Step 2: Convert to fraction form
    10,686.56/14,749.98 = 6,494/x
  3. Step 3: Cross multiply
    10,686.56x = 14,749.98 × 6,494
  4. Step 4: Simplify right side
    10,686.56x = 95,786,370.12
  5. Step 5: Solve for x
    x = 95,786,370.12/10,686.56
  6. Step 6: Final answer
    x = 8,963.26

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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.