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Finding the Fourth Proportional to 7,460.36, 10,295.16 and 5,102.42

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Solution

The fourth proportional to 7,460.36, 10,295.16 and 5,102.42 is: 7,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.36 : 10,295.16 = 5,102.42 : x
  2. Step 2: Convert to fraction form
    7,460.36/10,295.16 = 5,102.42/x
  3. Step 3: Cross multiply
    7,460.36x = 10,295.16 × 5,102.42
  4. Step 4: Simplify right side
    7,460.36x = 52,530,230.29
  5. Step 5: Solve for x
    x = 52,530,230.29/7,460.36
  6. Step 6: Final answer
    x = 7,041.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.