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Finding the Fourth Proportional to 7,283.58, 10,051.37 and 4,140.78

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Solution

The fourth proportional to 7,283.58, 10,051.37 and 4,140.78 is: 5,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.58 : 10,051.37 = 4,140.78 : x
  2. Step 2: Convert to fraction form
    7,283.58/10,051.37 = 4,140.78/x
  3. Step 3: Cross multiply
    7,283.58x = 10,051.37 × 4,140.78
  4. Step 4: Simplify right side
    7,283.58x = 41,620,511.87
  5. Step 5: Solve for x
    x = 41,620,511.87/7,283.58
  6. Step 6: Final answer
    x = 5,714.29

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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.