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Finding the Fourth Proportional to 7,857.56, 11,778.13 and 2,925.19

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Solution

The fourth proportional to 7,857.56, 11,778.13 and 2,925.19 is: 4,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.56 : 11,778.13 = 2,925.19 : x
  2. Step 2: Convert to fraction form
    7,857.56/11,778.13 = 2,925.19/x
  3. Step 3: Cross multiply
    7,857.56x = 11,778.13 × 2,925.19
  4. Step 4: Simplify right side
    7,857.56x = 34,453,261.57
  5. Step 5: Solve for x
    x = 34,453,261.57/7,857.56
  6. Step 6: Final answer
    x = 4,384.73

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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.