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Finding the Fourth Proportional to 11,131.80, 15,361.29 and 6,095.76

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Solution

The fourth proportional to 11,131.80, 15,361.29 and 6,095.76 is: 8,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.80 : 15,361.29 = 6,095.76 : x
  2. Step 2: Convert to fraction form
    11,131.80/15,361.29 = 6,095.76/x
  3. Step 3: Cross multiply
    11,131.80x = 15,361.29 × 6,095.76
  4. Step 4: Simplify right side
    11,131.80x = 93,638,737.13
  5. Step 5: Solve for x
    x = 93,638,737.13/11,131.80
  6. Step 6: Final answer
    x = 8,411.82

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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.