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Finding the Fourth Proportional to 7,857.42, 11,785.17 and 2,925.75

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Solution

The fourth proportional to 7,857.42, 11,785.17 and 2,925.75 is: 4,388.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.42 : 11,785.17 = 2,925.75 : x
  2. Step 2: Convert to fraction form
    7,857.42/11,785.17 = 2,925.75/x
  3. Step 3: Cross multiply
    7,857.42x = 11,785.17 × 2,925.75
  4. Step 4: Simplify right side
    7,857.42x = 34,480,461.13
  5. Step 5: Solve for x
    x = 34,480,461.13/7,857.42
  6. Step 6: Final answer
    x = 4,388.27

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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.