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Finding the Fourth Proportional to 8,829.09, 13,217.31 and 7,927.07

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Solution

The fourth proportional to 8,829.09, 13,217.31 and 7,927.07 is: 11,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.09 : 13,217.31 = 7,927.07 : x
  2. Step 2: Convert to fraction form
    8,829.09/13,217.31 = 7,927.07/x
  3. Step 3: Cross multiply
    8,829.09x = 13,217.31 × 7,927.07
  4. Step 4: Simplify right side
    8,829.09x = 104,774,475.50
  5. Step 5: Solve for x
    x = 104,774,475.50/8,829.09
  6. Step 6: Final answer
    x = 11,866.96

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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.