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Finding the Fourth Proportional to 10,706.28, 14,775.31 and 5,926.26

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Solution

The fourth proportional to 10,706.28, 14,775.31 and 5,926.26 is: 8,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.28 : 14,775.31 = 5,926.26 : x
  2. Step 2: Convert to fraction form
    10,706.28/14,775.31 = 5,926.26/x
  3. Step 3: Cross multiply
    10,706.28x = 14,775.31 × 5,926.26
  4. Step 4: Simplify right side
    10,706.28x = 87,562,391.46
  5. Step 5: Solve for x
    x = 87,562,391.46/10,706.28
  6. Step 6: Final answer
    x = 8,178.60

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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.