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Finding the Fourth Proportional to 10,696.67, 16,031.62 and 5,148.53

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Solution

The fourth proportional to 10,696.67, 16,031.62 and 5,148.53 is: 7,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.67 : 16,031.62 = 5,148.53 : x
  2. Step 2: Convert to fraction form
    10,696.67/16,031.62 = 5,148.53/x
  3. Step 3: Cross multiply
    10,696.67x = 16,031.62 × 5,148.53
  4. Step 4: Simplify right side
    10,696.67x = 82,539,276.52
  5. Step 5: Solve for x
    x = 82,539,276.52/10,696.67
  6. Step 6: Final answer
    x = 7,716.35

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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.