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Finding the Fourth Proportional to 10,696.42, 16,031.25 and 5,148.28

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Solution

The fourth proportional to 10,696.42, 16,031.25 and 5,148.28 is: 7,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.42 : 16,031.25 = 5,148.28 : x
  2. Step 2: Convert to fraction form
    10,696.42/16,031.25 = 5,148.28/x
  3. Step 3: Cross multiply
    10,696.42x = 16,031.25 × 5,148.28
  4. Step 4: Simplify right side
    10,696.42x = 82,533,363.75
  5. Step 5: Solve for x
    x = 82,533,363.75/10,696.42
  6. Step 6: Final answer
    x = 7,715.98

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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.