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Finding the Fourth Proportional to 11,381.79, 15,706.95 and 6,346.34

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Solution

The fourth proportional to 11,381.79, 15,706.95 and 6,346.34 is: 8,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.79 : 15,706.95 = 6,346.34 : x
  2. Step 2: Convert to fraction form
    11,381.79/15,706.95 = 6,346.34/x
  3. Step 3: Cross multiply
    11,381.79x = 15,706.95 × 6,346.34
  4. Step 4: Simplify right side
    11,381.79x = 99,681,566.53
  5. Step 5: Solve for x
    x = 99,681,566.53/11,381.79
  6. Step 6: Final answer
    x = 8,757.99

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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.