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Finding the Fourth Proportional to 10,706.95, 14,775.12 and 5,926.61

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Solution

The fourth proportional to 10,706.95, 14,775.12 and 5,926.61 is: 8,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.95 : 14,775.12 = 5,926.61 : x
  2. Step 2: Convert to fraction form
    10,706.95/14,775.12 = 5,926.61/x
  3. Step 3: Cross multiply
    10,706.95x = 14,775.12 × 5,926.61
  4. Step 4: Simplify right side
    10,706.95x = 87,566,315.33
  5. Step 5: Solve for x
    x = 87,566,315.33/10,706.95
  6. Step 6: Final answer
    x = 8,178.46

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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.