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Finding the Fourth Proportional to 7,857.30, 11,788.48 and 2,927.64

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Solution

The fourth proportional to 7,857.30, 11,788.48 and 2,927.64 is: 4,392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.30 : 11,788.48 = 2,927.64 : x
  2. Step 2: Convert to fraction form
    7,857.30/11,788.48 = 2,927.64/x
  3. Step 3: Cross multiply
    7,857.30x = 11,788.48 × 2,927.64
  4. Step 4: Simplify right side
    7,857.30x = 34,512,425.59
  5. Step 5: Solve for x
    x = 34,512,425.59/7,857.30
  6. Step 6: Final answer
    x = 4,392.40

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Why These Related Problems?

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