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Finding the Fourth Proportional to 10,661.36, 14,707.99 and 6,409.96

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Solution

The fourth proportional to 10,661.36, 14,707.99 and 6,409.96 is: 8,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.36 : 14,707.99 = 6,409.96 : x
  2. Step 2: Convert to fraction form
    10,661.36/14,707.99 = 6,409.96/x
  3. Step 3: Cross multiply
    10,661.36x = 14,707.99 × 6,409.96
  4. Step 4: Simplify right side
    10,661.36x = 94,277,649.20
  5. Step 5: Solve for x
    x = 94,277,649.20/10,661.36
  6. Step 6: Final answer
    x = 8,842.93

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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.