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Finding the Fourth Proportional to 10,968.98, 16,460.16 and 5,126

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Solution

The fourth proportional to 10,968.98, 16,460.16 and 5,126 is: 7,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.98 : 16,460.16 = 5,126 : x
  2. Step 2: Convert to fraction form
    10,968.98/16,460.16 = 5,126/x
  3. Step 3: Cross multiply
    10,968.98x = 16,460.16 × 5,126
  4. Step 4: Simplify right side
    10,968.98x = 84,374,780.16
  5. Step 5: Solve for x
    x = 84,374,780.16/10,968.98
  6. Step 6: Final answer
    x = 7,692.13

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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.