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Finding the Fourth Proportional to 12,016.22, 16,581.84 and 6,710

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Solution

The fourth proportional to 12,016.22, 16,581.84 and 6,710 is: 9,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.22 : 16,581.84 = 6,710 : x
  2. Step 2: Convert to fraction form
    12,016.22/16,581.84 = 6,710/x
  3. Step 3: Cross multiply
    12,016.22x = 16,581.84 × 6,710
  4. Step 4: Simplify right side
    12,016.22x = 111,264,146.40
  5. Step 5: Solve for x
    x = 111,264,146.40/12,016.22
  6. Step 6: Final answer
    x = 9,259.50

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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.