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Finding the Fourth Proportional to 10,632.96, 14,676.48 and 6,908.16

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Solution

The fourth proportional to 10,632.96, 14,676.48 and 6,908.16 is: 9,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.96 : 14,676.48 = 6,908.16 : x
  2. Step 2: Convert to fraction form
    10,632.96/14,676.48 = 6,908.16/x
  3. Step 3: Cross multiply
    10,632.96x = 14,676.48 × 6,908.16
  4. Step 4: Simplify right side
    10,632.96x = 101,387,472.08
  5. Step 5: Solve for x
    x = 101,387,472.08/10,632.96
  6. Step 6: Final answer
    x = 9,535.21

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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.