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Finding the Fourth Proportional to 11,403.69, 15,735.70 and 6,368.19

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Solution

The fourth proportional to 11,403.69, 15,735.70 and 6,368.19 is: 8,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.69 : 15,735.70 = 6,368.19 : x
  2. Step 2: Convert to fraction form
    11,403.69/15,735.70 = 6,368.19/x
  3. Step 3: Cross multiply
    11,403.69x = 15,735.70 × 6,368.19
  4. Step 4: Simplify right side
    11,403.69x = 100,207,927.38
  5. Step 5: Solve for x
    x = 100,207,927.38/11,403.69
  6. Step 6: Final answer
    x = 8,787.32

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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.