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Finding the Fourth Proportional to 11,743.99, 16,204.93 and 6,707.13

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Solution

The fourth proportional to 11,743.99, 16,204.93 and 6,707.13 is: 9,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.99 : 16,204.93 = 6,707.13 : x
  2. Step 2: Convert to fraction form
    11,743.99/16,204.93 = 6,707.13/x
  3. Step 3: Cross multiply
    11,743.99x = 16,204.93 × 6,707.13
  4. Step 4: Simplify right side
    11,743.99x = 108,688,572.15
  5. Step 5: Solve for x
    x = 108,688,572.15/11,743.99
  6. Step 6: Final answer
    x = 9,254.83

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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.