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Finding the Fourth Proportional to 10,046.42, 15,068.47 and 2,651.47

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Solution

The fourth proportional to 10,046.42, 15,068.47 and 2,651.47 is: 3,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.42 : 15,068.47 = 2,651.47 : x
  2. Step 2: Convert to fraction form
    10,046.42/15,068.47 = 2,651.47/x
  3. Step 3: Cross multiply
    10,046.42x = 15,068.47 × 2,651.47
  4. Step 4: Simplify right side
    10,046.42x = 39,953,596.15
  5. Step 5: Solve for x
    x = 39,953,596.15/10,046.42
  6. Step 6: Final answer
    x = 3,976.90

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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.