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Finding the Fourth Proportional to 7,656.30, 11,484.45 and 2,465.82

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Solution

The fourth proportional to 7,656.30, 11,484.45 and 2,465.82 is: 3,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.30 : 11,484.45 = 2,465.82 : x
  2. Step 2: Convert to fraction form
    7,656.30/11,484.45 = 2,465.82/x
  3. Step 3: Cross multiply
    7,656.30x = 11,484.45 × 2,465.82
  4. Step 4: Simplify right side
    7,656.30x = 28,318,586.50
  5. Step 5: Solve for x
    x = 28,318,586.50/7,656.30
  6. Step 6: Final answer
    x = 3,698.73

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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.