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Finding the Fourth Proportional to 11,095, 15,310.86 and 6,623.80

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Solution

The fourth proportional to 11,095, 15,310.86 and 6,623.80 is: 9,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,095 : 15,310.86 = 6,623.80 : x
  2. Step 2: Convert to fraction form
    11,095/15,310.86 = 6,623.80/x
  3. Step 3: Cross multiply
    11,095x = 15,310.86 × 6,623.80
  4. Step 4: Simplify right side
    11,095x = 101,416,074.47
  5. Step 5: Solve for x
    x = 101,416,074.47/11,095
  6. Step 6: Final answer
    x = 9,140.70

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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.