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Finding the Fourth Proportional to 10,051, 15,074.88 and 7,120.42

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Solution

The fourth proportional to 10,051, 15,074.88 and 7,120.42 is: 10,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051 : 15,074.88 = 7,120.42 : x
  2. Step 2: Convert to fraction form
    10,051/15,074.88 = 7,120.42/x
  3. Step 3: Cross multiply
    10,051x = 15,074.88 × 7,120.42
  4. Step 4: Simplify right side
    10,051x = 107,339,477.05
  5. Step 5: Solve for x
    x = 107,339,477.05/10,051
  6. Step 6: Final answer
    x = 10,679.48

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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.