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Finding the Fourth Proportional to 8,500.12, 11,726.80 and 4,914.41

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Solution

The fourth proportional to 8,500.12, 11,726.80 and 4,914.41 is: 6,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.12 : 11,726.80 = 4,914.41 : x
  2. Step 2: Convert to fraction form
    8,500.12/11,726.80 = 4,914.41/x
  3. Step 3: Cross multiply
    8,500.12x = 11,726.80 × 4,914.41
  4. Step 4: Simplify right side
    8,500.12x = 57,630,332.51
  5. Step 5: Solve for x
    x = 57,630,332.51/8,500.12
  6. Step 6: Final answer
    x = 6,779.95

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