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Finding the Fourth Proportional to 11,559.72, 15,943.86 and 7,369.32

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Solution

The fourth proportional to 11,559.72, 15,943.86 and 7,369.32 is: 10,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.72 : 15,943.86 = 7,369.32 : x
  2. Step 2: Convert to fraction form
    11,559.72/15,943.86 = 7,369.32/x
  3. Step 3: Cross multiply
    11,559.72x = 15,943.86 × 7,369.32
  4. Step 4: Simplify right side
    11,559.72x = 117,495,406.38
  5. Step 5: Solve for x
    x = 117,495,406.38/11,559.72
  6. Step 6: Final answer
    x = 10,164.21

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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.