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Finding the Fourth Proportional to 11,416.40, 17,124.60 and 7,042.40

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Solution

The fourth proportional to 11,416.40, 17,124.60 and 7,042.40 is: 10,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.40 : 17,124.60 = 7,042.40 : x
  2. Step 2: Convert to fraction form
    11,416.40/17,124.60 = 7,042.40/x
  3. Step 3: Cross multiply
    11,416.40x = 17,124.60 × 7,042.40
  4. Step 4: Simplify right side
    11,416.40x = 120,598,283.04
  5. Step 5: Solve for x
    x = 120,598,283.04/11,416.40
  6. Step 6: Final answer
    x = 10,563.60

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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.