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Finding the Fourth Proportional to 13,115.04, 18,095.76 and 7,812

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Solution

The fourth proportional to 13,115.04, 18,095.76 and 7,812 is: 10,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.04 : 18,095.76 = 7,812 : x
  2. Step 2: Convert to fraction form
    13,115.04/18,095.76 = 7,812/x
  3. Step 3: Cross multiply
    13,115.04x = 18,095.76 × 7,812
  4. Step 4: Simplify right side
    13,115.04x = 141,364,077.12
  5. Step 5: Solve for x
    x = 141,364,077.12/13,115.04
  6. Step 6: Final answer
    x = 10,778.78

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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.