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Finding the Fourth Proportional to 11,592.15, 17,368.36 and 7,785.66

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Solution

The fourth proportional to 11,592.15, 17,368.36 and 7,785.66 is: 11,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.15 : 17,368.36 = 7,785.66 : x
  2. Step 2: Convert to fraction form
    11,592.15/17,368.36 = 7,785.66/x
  3. Step 3: Cross multiply
    11,592.15x = 17,368.36 × 7,785.66
  4. Step 4: Simplify right side
    11,592.15x = 135,224,145.72
  5. Step 5: Solve for x
    x = 135,224,145.72/11,592.15
  6. Step 6: Final answer
    x = 11,665.15

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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.