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Finding the Fourth Proportional to 7,431.96, 10,244.16 and 5,041.20

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Solution

The fourth proportional to 7,431.96, 10,244.16 and 5,041.20 is: 6,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.96 : 10,244.16 = 5,041.20 : x
  2. Step 2: Convert to fraction form
    7,431.96/10,244.16 = 5,041.20/x
  3. Step 3: Cross multiply
    7,431.96x = 10,244.16 × 5,041.20
  4. Step 4: Simplify right side
    7,431.96x = 51,642,859.39
  5. Step 5: Solve for x
    x = 51,642,859.39/7,431.96
  6. Step 6: Final answer
    x = 6,948.75

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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.