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Finding the Fourth Proportional to 7,185.78, 10,785.93 and 5,108.13

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Solution

The fourth proportional to 7,185.78, 10,785.93 and 5,108.13 is: 7,667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.78 : 10,785.93 = 5,108.13 : x
  2. Step 2: Convert to fraction form
    7,185.78/10,785.93 = 5,108.13/x
  3. Step 3: Cross multiply
    7,185.78x = 10,785.93 × 5,108.13
  4. Step 4: Simplify right side
    7,185.78x = 55,095,932.61
  5. Step 5: Solve for x
    x = 55,095,932.61/7,185.78
  6. Step 6: Final answer
    x = 7,667.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.