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Finding the Fourth Proportional to 11,085, 15,297.30 and 6,117

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Solution

The fourth proportional to 11,085, 15,297.30 and 6,117 is: 8,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085 : 15,297.30 = 6,117 : x
  2. Step 2: Convert to fraction form
    11,085/15,297.30 = 6,117/x
  3. Step 3: Cross multiply
    11,085x = 15,297.30 × 6,117
  4. Step 4: Simplify right side
    11,085x = 93,573,584.10
  5. Step 5: Solve for x
    x = 93,573,584.10/11,085
  6. Step 6: Final answer
    x = 8,441.46

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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.