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Finding the Fourth Proportional to 11,380.66, 15,696.41 and 7,403.04

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Solution

The fourth proportional to 11,380.66, 15,696.41 and 7,403.04 is: 10,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.66 : 15,696.41 = 7,403.04 : x
  2. Step 2: Convert to fraction form
    11,380.66/15,696.41 = 7,403.04/x
  3. Step 3: Cross multiply
    11,380.66x = 15,696.41 × 7,403.04
  4. Step 4: Simplify right side
    11,380.66x = 116,201,114.07
  5. Step 5: Solve for x
    x = 116,201,114.07/11,380.66
  6. Step 6: Final answer
    x = 10,210.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.