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Finding the Fourth Proportional to 10,697.16, 16,047.11 and 3,302.37

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Solution

The fourth proportional to 10,697.16, 16,047.11 and 3,302.37 is: 4,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.16 : 16,047.11 = 3,302.37 : x
  2. Step 2: Convert to fraction form
    10,697.16/16,047.11 = 3,302.37/x
  3. Step 3: Cross multiply
    10,697.16x = 16,047.11 × 3,302.37
  4. Step 4: Simplify right side
    10,697.16x = 52,993,502.91
  5. Step 5: Solve for x
    x = 52,993,502.91/10,697.16
  6. Step 6: Final answer
    x = 4,953.98

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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.