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Finding the Fourth Proportional to 10,775.34, 16,173.54 and 8,938.26

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Solution

The fourth proportional to 10,775.34, 16,173.54 and 8,938.26 is: 13,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.34 : 16,173.54 = 8,938.26 : x
  2. Step 2: Convert to fraction form
    10,775.34/16,173.54 = 8,938.26/x
  3. Step 3: Cross multiply
    10,775.34x = 16,173.54 × 8,938.26
  4. Step 4: Simplify right side
    10,775.34x = 144,563,305.64
  5. Step 5: Solve for x
    x = 144,563,305.64/10,775.34
  6. Step 6: Final answer
    x = 13,416.12

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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.