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Finding the Fourth Proportional to 11,381.66, 15,706.44 and 6,345.86

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Solution

The fourth proportional to 11,381.66, 15,706.44 and 6,345.86 is: 8,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.66 : 15,706.44 = 6,345.86 : x
  2. Step 2: Convert to fraction form
    11,381.66/15,706.44 = 6,345.86/x
  3. Step 3: Cross multiply
    11,381.66x = 15,706.44 × 6,345.86
  4. Step 4: Simplify right side
    11,381.66x = 99,670,869.34
  5. Step 5: Solve for x
    x = 99,670,869.34/11,381.66
  6. Step 6: Final answer
    x = 8,757.15

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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.