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Finding the Fourth Proportional to 11,398.34, 17,084.72 and 7,457.18

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Solution

The fourth proportional to 11,398.34, 17,084.72 and 7,457.18 is: 11,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.34 : 17,084.72 = 7,457.18 : x
  2. Step 2: Convert to fraction form
    11,398.34/17,084.72 = 7,457.18/x
  3. Step 3: Cross multiply
    11,398.34x = 17,084.72 × 7,457.18
  4. Step 4: Simplify right side
    11,398.34x = 127,403,709.58
  5. Step 5: Solve for x
    x = 127,403,709.58/11,398.34
  6. Step 6: Final answer
    x = 11,177.40

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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.