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Finding the Fourth Proportional to 7,546.88, 10,412.46 and 4,402.52

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Solution

The fourth proportional to 7,546.88, 10,412.46 and 4,402.52 is: 6,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.88 : 10,412.46 = 4,402.52 : x
  2. Step 2: Convert to fraction form
    7,546.88/10,412.46 = 4,402.52/x
  3. Step 3: Cross multiply
    7,546.88x = 10,412.46 × 4,402.52
  4. Step 4: Simplify right side
    7,546.88x = 45,841,063.40
  5. Step 5: Solve for x
    x = 45,841,063.40/7,546.88
  6. Step 6: Final answer
    x = 6,074.17

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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.