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Finding the Fourth Proportional to 11,606.40, 17,409.51 and 4,210.83

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Solution

The fourth proportional to 11,606.40, 17,409.51 and 4,210.83 is: 6,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.40 : 17,409.51 = 4,210.83 : x
  2. Step 2: Convert to fraction form
    11,606.40/17,409.51 = 4,210.83/x
  3. Step 3: Cross multiply
    11,606.40x = 17,409.51 × 4,210.83
  4. Step 4: Simplify right side
    11,606.40x = 73,308,486.99
  5. Step 5: Solve for x
    x = 73,308,486.99/11,606.40
  6. Step 6: Final answer
    x = 6,316.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.