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Finding the Fourth Proportional to 11,293.10, 15,584.43 and 6,258.14

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Solution

The fourth proportional to 11,293.10, 15,584.43 and 6,258.14 is: 8,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.10 : 15,584.43 = 6,258.14 : x
  2. Step 2: Convert to fraction form
    11,293.10/15,584.43 = 6,258.14/x
  3. Step 3: Cross multiply
    11,293.10x = 15,584.43 × 6,258.14
  4. Step 4: Simplify right side
    11,293.10x = 97,529,544.76
  5. Step 5: Solve for x
    x = 97,529,544.76/11,293.10
  6. Step 6: Final answer
    x = 8,636.21

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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.