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Finding the Fourth Proportional to 7,760.58, 11,638.71 and 3,142.50

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Solution

The fourth proportional to 7,760.58, 11,638.71 and 3,142.50 is: 4,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.58 : 11,638.71 = 3,142.50 : x
  2. Step 2: Convert to fraction form
    7,760.58/11,638.71 = 3,142.50/x
  3. Step 3: Cross multiply
    7,760.58x = 11,638.71 × 3,142.50
  4. Step 4: Simplify right side
    7,760.58x = 36,574,646.18
  5. Step 5: Solve for x
    x = 36,574,646.18/7,760.58
  6. Step 6: Final answer
    x = 4,712.88

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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.