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Finding the Fourth Proportional to 10,556.70, 14,567.67 and 8,200.86

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Solution

The fourth proportional to 10,556.70, 14,567.67 and 8,200.86 is: 11,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.70 : 14,567.67 = 8,200.86 : x
  2. Step 2: Convert to fraction form
    10,556.70/14,567.67 = 8,200.86/x
  3. Step 3: Cross multiply
    10,556.70x = 14,567.67 × 8,200.86
  4. Step 4: Simplify right side
    10,556.70x = 119,467,422.20
  5. Step 5: Solve for x
    x = 119,467,422.20/10,556.70
  6. Step 6: Final answer
    x = 11,316.74

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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.