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Finding the Fourth Proportional to 10,775.41, 16,167.98 and 5,507.17

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Solution

The fourth proportional to 10,775.41, 16,167.98 and 5,507.17 is: 8,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.41 : 16,167.98 = 5,507.17 : x
  2. Step 2: Convert to fraction form
    10,775.41/16,167.98 = 5,507.17/x
  3. Step 3: Cross multiply
    10,775.41x = 16,167.98 × 5,507.17
  4. Step 4: Simplify right side
    10,775.41x = 89,039,814.42
  5. Step 5: Solve for x
    x = 89,039,814.42/10,775.41
  6. Step 6: Final answer
    x = 8,263.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.