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Finding the Fourth Proportional to 10,682.96, 14,731.16 and 7,330.66

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Solution

The fourth proportional to 10,682.96, 14,731.16 and 7,330.66 is: 10,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.96 : 14,731.16 = 7,330.66 : x
  2. Step 2: Convert to fraction form
    10,682.96/14,731.16 = 7,330.66/x
  3. Step 3: Cross multiply
    10,682.96x = 14,731.16 × 7,330.66
  4. Step 4: Simplify right side
    10,682.96x = 107,989,125.37
  5. Step 5: Solve for x
    x = 107,989,125.37/10,682.96
  6. Step 6: Final answer
    x = 10,108.54

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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.