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Finding the Fourth Proportional to 7,431.85, 10,257.08 and 4,744.22

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Solution

The fourth proportional to 7,431.85, 10,257.08 and 4,744.22 is: 6,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.85 : 10,257.08 = 4,744.22 : x
  2. Step 2: Convert to fraction form
    7,431.85/10,257.08 = 4,744.22/x
  3. Step 3: Cross multiply
    7,431.85x = 10,257.08 × 4,744.22
  4. Step 4: Simplify right side
    7,431.85x = 48,661,853.45
  5. Step 5: Solve for x
    x = 48,661,853.45/7,431.85
  6. Step 6: Final answer
    x = 6,547.74

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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.