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Finding the Fourth Proportional to 7,656.66, 11,486.88 and 2,462.40

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Solution

The fourth proportional to 7,656.66, 11,486.88 and 2,462.40 is: 3,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.66 : 11,486.88 = 2,462.40 : x
  2. Step 2: Convert to fraction form
    7,656.66/11,486.88 = 2,462.40/x
  3. Step 3: Cross multiply
    7,656.66x = 11,486.88 × 2,462.40
  4. Step 4: Simplify right side
    7,656.66x = 28,285,293.31
  5. Step 5: Solve for x
    x = 28,285,293.31/7,656.66
  6. Step 6: Final answer
    x = 3,694.21

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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.