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Finding the Fourth Proportional to 11,598.37, 17,398.89 and 3,698.10

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Solution

The fourth proportional to 11,598.37, 17,398.89 and 3,698.10 is: 5,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.37 : 17,398.89 = 3,698.10 : x
  2. Step 2: Convert to fraction form
    11,598.37/17,398.89 = 3,698.10/x
  3. Step 3: Cross multiply
    11,598.37x = 17,398.89 × 3,698.10
  4. Step 4: Simplify right side
    11,598.37x = 64,342,835.11
  5. Step 5: Solve for x
    x = 64,342,835.11/11,598.37
  6. Step 6: Final answer
    x = 5,547.58

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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.