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Finding the Fourth Proportional to 7,784.68, 11,670.84 and 4,494.06

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Solution

The fourth proportional to 7,784.68, 11,670.84 and 4,494.06 is: 6,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.68 : 11,670.84 = 4,494.06 : x
  2. Step 2: Convert to fraction form
    7,784.68/11,670.84 = 4,494.06/x
  3. Step 3: Cross multiply
    7,784.68x = 11,670.84 × 4,494.06
  4. Step 4: Simplify right side
    7,784.68x = 52,449,455.21
  5. Step 5: Solve for x
    x = 52,449,455.21/7,784.68
  6. Step 6: Final answer
    x = 6,737.52

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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.