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Finding the Fourth Proportional to 7,154.46, 9,872.82 and 4,010.58

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Solution

The fourth proportional to 7,154.46, 9,872.82 and 4,010.58 is: 5,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.46 : 9,872.82 = 4,010.58 : x
  2. Step 2: Convert to fraction form
    7,154.46/9,872.82 = 4,010.58/x
  3. Step 3: Cross multiply
    7,154.46x = 9,872.82 × 4,010.58
  4. Step 4: Simplify right side
    7,154.46x = 39,595,734.44
  5. Step 5: Solve for x
    x = 39,595,734.44/7,154.46
  6. Step 6: Final answer
    x = 5,534.41

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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.