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Finding the Fourth Proportional to 11,598.12, 17,398.52 and 3,697.85

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Solution

The fourth proportional to 11,598.12, 17,398.52 and 3,697.85 is: 5,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.12 : 17,398.52 = 3,697.85 : x
  2. Step 2: Convert to fraction form
    11,598.12/17,398.52 = 3,697.85/x
  3. Step 3: Cross multiply
    11,598.12x = 17,398.52 × 3,697.85
  4. Step 4: Simplify right side
    11,598.12x = 64,337,117.18
  5. Step 5: Solve for x
    x = 64,337,117.18/11,598.12
  6. Step 6: Final answer
    x = 5,547.20

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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.