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Finding the Fourth Proportional to 12,543.83, 17,309.75 and 6,877.46

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Solution

The fourth proportional to 12,543.83, 17,309.75 and 6,877.46 is: 9,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.83 : 17,309.75 = 6,877.46 : x
  2. Step 2: Convert to fraction form
    12,543.83/17,309.75 = 6,877.46/x
  3. Step 3: Cross multiply
    12,543.83x = 17,309.75 × 6,877.46
  4. Step 4: Simplify right side
    12,543.83x = 119,046,992.30
  5. Step 5: Solve for x
    x = 119,046,992.30/12,543.83
  6. Step 6: Final answer
    x = 9,490.49

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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.