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Finding the Fourth Proportional to 10,952.34, 16,389.60 and 7,994.22

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Solution

The fourth proportional to 10,952.34, 16,389.60 and 7,994.22 is: 11,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.34 : 16,389.60 = 7,994.22 : x
  2. Step 2: Convert to fraction form
    10,952.34/16,389.60 = 7,994.22/x
  3. Step 3: Cross multiply
    10,952.34x = 16,389.60 × 7,994.22
  4. Step 4: Simplify right side
    10,952.34x = 131,022,068.11
  5. Step 5: Solve for x
    x = 131,022,068.11/10,952.34
  6. Step 6: Final answer
    x = 11,962.93

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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.