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Finding the Fourth Proportional to 11,411.60, 17,117.40 and 3,203.60

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Solution

The fourth proportional to 11,411.60, 17,117.40 and 3,203.60 is: 4,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.60 : 17,117.40 = 3,203.60 : x
  2. Step 2: Convert to fraction form
    11,411.60/17,117.40 = 3,203.60/x
  3. Step 3: Cross multiply
    11,411.60x = 17,117.40 × 3,203.60
  4. Step 4: Simplify right side
    11,411.60x = 54,837,302.64
  5. Step 5: Solve for x
    x = 54,837,302.64/11,411.60
  6. Step 6: Final answer
    x = 4,805.40

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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.