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Finding the Fourth Proportional to 7,852.40, 11,771.28 and 2,654.64

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Solution

The fourth proportional to 7,852.40, 11,771.28 and 2,654.64 is: 3,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.40 : 11,771.28 = 2,654.64 : x
  2. Step 2: Convert to fraction form
    7,852.40/11,771.28 = 2,654.64/x
  3. Step 3: Cross multiply
    7,852.40x = 11,771.28 × 2,654.64
  4. Step 4: Simplify right side
    7,852.40x = 31,248,510.74
  5. Step 5: Solve for x
    x = 31,248,510.74/7,852.40
  6. Step 6: Final answer
    x = 3,979.49

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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.