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Finding the Fourth Proportional to 8,427.67, 12,641.40 and 6,580.31

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Solution

The fourth proportional to 8,427.67, 12,641.40 and 6,580.31 is: 9,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.67 : 12,641.40 = 6,580.31 : x
  2. Step 2: Convert to fraction form
    8,427.67/12,641.40 = 6,580.31/x
  3. Step 3: Cross multiply
    8,427.67x = 12,641.40 × 6,580.31
  4. Step 4: Simplify right side
    8,427.67x = 83,184,267.63
  5. Step 5: Solve for x
    x = 83,184,267.63/8,427.67
  6. Step 6: Final answer
    x = 9,870.38

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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.