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Finding the Fourth Proportional to 7,250.56, 10,005.78 and 4,106.68

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Solution

The fourth proportional to 7,250.56, 10,005.78 and 4,106.68 is: 5,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.56 : 10,005.78 = 4,106.68 : x
  2. Step 2: Convert to fraction form
    7,250.56/10,005.78 = 4,106.68/x
  3. Step 3: Cross multiply
    7,250.56x = 10,005.78 × 4,106.68
  4. Step 4: Simplify right side
    7,250.56x = 41,090,536.61
  5. Step 5: Solve for x
    x = 41,090,536.61/7,250.56
  6. Step 6: Final answer
    x = 5,667.22

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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.