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Finding the Fourth Proportional to 7,460.06, 10,295.12 and 4,102.99

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Solution

The fourth proportional to 7,460.06, 10,295.12 and 4,102.99 is: 5,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.06 : 10,295.12 = 4,102.99 : x
  2. Step 2: Convert to fraction form
    7,460.06/10,295.12 = 4,102.99/x
  3. Step 3: Cross multiply
    7,460.06x = 10,295.12 × 4,102.99
  4. Step 4: Simplify right side
    7,460.06x = 42,240,758.93
  5. Step 5: Solve for x
    x = 42,240,758.93/7,460.06
  6. Step 6: Final answer
    x = 5,662.26

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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.