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Finding the Fourth Proportional to 11,378.48, 17,128.08 and 8,114.16

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Solution

The fourth proportional to 11,378.48, 17,128.08 and 8,114.16 is: 12,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.48 : 17,128.08 = 8,114.16 : x
  2. Step 2: Convert to fraction form
    11,378.48/17,128.08 = 8,114.16/x
  3. Step 3: Cross multiply
    11,378.48x = 17,128.08 × 8,114.16
  4. Step 4: Simplify right side
    11,378.48x = 138,979,981.61
  5. Step 5: Solve for x
    x = 138,979,981.61/11,378.48
  6. Step 6: Final answer
    x = 12,214.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.