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Finding the Fourth Proportional to 10,697.96, 16,047 and 7,003.29

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Solution

The fourth proportional to 10,697.96, 16,047 and 7,003.29 is: 10,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.96 : 16,047 = 7,003.29 : x
  2. Step 2: Convert to fraction form
    10,697.96/16,047 = 7,003.29/x
  3. Step 3: Cross multiply
    10,697.96x = 16,047 × 7,003.29
  4. Step 4: Simplify right side
    10,697.96x = 112,381,794.63
  5. Step 5: Solve for x
    x = 112,381,794.63/10,697.96
  6. Step 6: Final answer
    x = 10,504.98

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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.