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Finding the Fourth Proportional to 11,294.26, 15,585.82 and 6,258.49

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Solution

The fourth proportional to 11,294.26, 15,585.82 and 6,258.49 is: 8,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.26 : 15,585.82 = 6,258.49 : x
  2. Step 2: Convert to fraction form
    11,294.26/15,585.82 = 6,258.49/x
  3. Step 3: Cross multiply
    11,294.26x = 15,585.82 × 6,258.49
  4. Step 4: Simplify right side
    11,294.26x = 97,543,698.61
  5. Step 5: Solve for x
    x = 97,543,698.61/11,294.26
  6. Step 6: Final answer
    x = 8,636.57

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