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Finding the Fourth Proportional to 8,561.52, 11,814.86 and 4,784.69

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Solution

The fourth proportional to 8,561.52, 11,814.86 and 4,784.69 is: 6,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.52 : 11,814.86 = 4,784.69 : x
  2. Step 2: Convert to fraction form
    8,561.52/11,814.86 = 4,784.69/x
  3. Step 3: Cross multiply
    8,561.52x = 11,814.86 × 4,784.69
  4. Step 4: Simplify right side
    8,561.52x = 56,530,395.38
  5. Step 5: Solve for x
    x = 56,530,395.38/8,561.52
  6. Step 6: Final answer
    x = 6,602.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.