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Finding the Fourth Proportional to 7,412.02, 10,226.18 and 5,050.06

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Solution

The fourth proportional to 7,412.02, 10,226.18 and 5,050.06 is: 6,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.02 : 10,226.18 = 5,050.06 : x
  2. Step 2: Convert to fraction form
    7,412.02/10,226.18 = 5,050.06/x
  3. Step 3: Cross multiply
    7,412.02x = 10,226.18 × 5,050.06
  4. Step 4: Simplify right side
    7,412.02x = 51,642,822.57
  5. Step 5: Solve for x
    x = 51,642,822.57/7,412.02
  6. Step 6: Final answer
    x = 6,967.44

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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.