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Finding the Fourth Proportional to 7,555.84, 10,427.04 and 4,198.64

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Solution

The fourth proportional to 7,555.84, 10,427.04 and 4,198.64 is: 5,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555.84 : 10,427.04 = 4,198.64 : x
  2. Step 2: Convert to fraction form
    7,555.84/10,427.04 = 4,198.64/x
  3. Step 3: Cross multiply
    7,555.84x = 10,427.04 × 4,198.64
  4. Step 4: Simplify right side
    7,555.84x = 43,779,387.23
  5. Step 5: Solve for x
    x = 43,779,387.23/7,555.84
  6. Step 6: Final answer
    x = 5,794.11

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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.