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Finding the Fourth Proportional to 7,654.14, 10,562.13 and 4,296.69

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Solution

The fourth proportional to 7,654.14, 10,562.13 and 4,296.69 is: 5,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.14 : 10,562.13 = 4,296.69 : x
  2. Step 2: Convert to fraction form
    7,654.14/10,562.13 = 4,296.69/x
  3. Step 3: Cross multiply
    7,654.14x = 10,562.13 × 4,296.69
  4. Step 4: Simplify right side
    7,654.14x = 45,382,198.35
  5. Step 5: Solve for x
    x = 45,382,198.35/7,654.14
  6. Step 6: Final answer
    x = 5,929.10

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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.