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Finding the Fourth Proportional to 11,655.84, 16,085.14 and 6,350.80

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Solution

The fourth proportional to 11,655.84, 16,085.14 and 6,350.80 is: 8,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.84 : 16,085.14 = 6,350.80 : x
  2. Step 2: Convert to fraction form
    11,655.84/16,085.14 = 6,350.80/x
  3. Step 3: Cross multiply
    11,655.84x = 16,085.14 × 6,350.80
  4. Step 4: Simplify right side
    11,655.84x = 102,153,507.11
  5. Step 5: Solve for x
    x = 102,153,507.11/11,655.84
  6. Step 6: Final answer
    x = 8,764.15

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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.