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Finding the Fourth Proportional to 10,642.56, 14,686.56 and 5,926.72

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Solution

The fourth proportional to 10,642.56, 14,686.56 and 5,926.72 is: 8,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.56 : 14,686.56 = 5,926.72 : x
  2. Step 2: Convert to fraction form
    10,642.56/14,686.56 = 5,926.72/x
  3. Step 3: Cross multiply
    10,642.56x = 14,686.56 × 5,926.72
  4. Step 4: Simplify right side
    10,642.56x = 87,043,128.88
  5. Step 5: Solve for x
    x = 87,043,128.88/10,642.56
  6. Step 6: Final answer
    x = 8,178.78

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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.