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Finding the Fourth Proportional to 11,707.76, 16,156.32 and 6,672.80

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Solution

The fourth proportional to 11,707.76, 16,156.32 and 6,672.80 is: 9,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.76 : 16,156.32 = 6,672.80 : x
  2. Step 2: Convert to fraction form
    11,707.76/16,156.32 = 6,672.80/x
  3. Step 3: Cross multiply
    11,707.76x = 16,156.32 × 6,672.80
  4. Step 4: Simplify right side
    11,707.76x = 107,807,892.10
  5. Step 5: Solve for x
    x = 107,807,892.10/11,707.76
  6. Step 6: Final answer
    x = 9,208.24

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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.