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Finding the Fourth Proportional to 10,696.16, 16,031.92 and 4,119.04

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Solution

The fourth proportional to 10,696.16, 16,031.92 and 4,119.04 is: 6,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.16 : 16,031.92 = 4,119.04 : x
  2. Step 2: Convert to fraction form
    10,696.16/16,031.92 = 4,119.04/x
  3. Step 3: Cross multiply
    10,696.16x = 16,031.92 × 4,119.04
  4. Step 4: Simplify right side
    10,696.16x = 66,036,119.76
  5. Step 5: Solve for x
    x = 66,036,119.76/10,696.16
  6. Step 6: Final answer
    x = 6,173.82

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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.