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Finding the Fourth Proportional to 11,423.05, 15,757.23 and 6,706.42

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Solution

The fourth proportional to 11,423.05, 15,757.23 and 6,706.42 is: 9,251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.05 : 15,757.23 = 6,706.42 : x
  2. Step 2: Convert to fraction form
    11,423.05/15,757.23 = 6,706.42/x
  3. Step 3: Cross multiply
    11,423.05x = 15,757.23 × 6,706.42
  4. Step 4: Simplify right side
    11,423.05x = 105,674,588.17
  5. Step 5: Solve for x
    x = 105,674,588.17/11,423.05
  6. Step 6: Final answer
    x = 9,251.00

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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.