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Finding the Fourth Proportional to 7,412.50, 10,231.07 and 4,270.51

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Solution

The fourth proportional to 7,412.50, 10,231.07 and 4,270.51 is: 5,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.50 : 10,231.07 = 4,270.51 : x
  2. Step 2: Convert to fraction form
    7,412.50/10,231.07 = 4,270.51/x
  3. Step 3: Cross multiply
    7,412.50x = 10,231.07 × 4,270.51
  4. Step 4: Simplify right side
    7,412.50x = 43,691,886.75
  5. Step 5: Solve for x
    x = 43,691,886.75/7,412.50
  6. Step 6: Final answer
    x = 5,894.35

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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.