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Finding the Fourth Proportional to 8,810.31, 13,189.86 and 6,856.59

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Solution

The fourth proportional to 8,810.31, 13,189.86 and 6,856.59 is: 10,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,810.31 : 13,189.86 = 6,856.59 : x
  2. Step 2: Convert to fraction form
    8,810.31/13,189.86 = 6,856.59/x
  3. Step 3: Cross multiply
    8,810.31x = 13,189.86 × 6,856.59
  4. Step 4: Simplify right side
    8,810.31x = 90,437,462.18
  5. Step 5: Solve for x
    x = 90,437,462.18/8,810.31
  6. Step 6: Final answer
    x = 10,264.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.