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Finding the Fourth Proportional to 11,373.57, 15,693.21 and 6,656.94

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Solution

The fourth proportional to 11,373.57, 15,693.21 and 6,656.94 is: 9,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,373.57 : 15,693.21 = 6,656.94 : x
  2. Step 2: Convert to fraction form
    11,373.57/15,693.21 = 6,656.94/x
  3. Step 3: Cross multiply
    11,373.57x = 15,693.21 × 6,656.94
  4. Step 4: Simplify right side
    11,373.57x = 104,468,757.38
  5. Step 5: Solve for x
    x = 104,468,757.38/11,373.57
  6. Step 6: Final answer
    x = 9,185.22

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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.