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Finding the Fourth Proportional to 11,598.58, 17,387.40 and 4,201.30

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Solution

The fourth proportional to 11,598.58, 17,387.40 and 4,201.30 is: 6,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.58 : 17,387.40 = 4,201.30 : x
  2. Step 2: Convert to fraction form
    11,598.58/17,387.40 = 4,201.30/x
  3. Step 3: Cross multiply
    11,598.58x = 17,387.40 × 4,201.30
  4. Step 4: Simplify right side
    11,598.58x = 73,049,683.62
  5. Step 5: Solve for x
    x = 73,049,683.62/11,598.58
  6. Step 6: Final answer
    x = 6,298.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.