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Finding the Fourth Proportional to 11,663.34, 16,095.84 and 6,628.41

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Solution

The fourth proportional to 11,663.34, 16,095.84 and 6,628.41 is: 9,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.34 : 16,095.84 = 6,628.41 : x
  2. Step 2: Convert to fraction form
    11,663.34/16,095.84 = 6,628.41/x
  3. Step 3: Cross multiply
    11,663.34x = 16,095.84 × 6,628.41
  4. Step 4: Simplify right side
    11,663.34x = 106,689,826.81
  5. Step 5: Solve for x
    x = 106,689,826.81/11,663.34
  6. Step 6: Final answer
    x = 9,147.45

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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.