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Finding the Fourth Proportional to 11,606.07, 17,409.07 and 4,210.50

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Solution

The fourth proportional to 11,606.07, 17,409.07 and 4,210.50 is: 6,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.07 : 17,409.07 = 4,210.50 : x
  2. Step 2: Convert to fraction form
    11,606.07/17,409.07 = 4,210.50/x
  3. Step 3: Cross multiply
    11,606.07x = 17,409.07 × 4,210.50
  4. Step 4: Simplify right side
    11,606.07x = 73,300,889.24
  5. Step 5: Solve for x
    x = 73,300,889.24/11,606.07
  6. Step 6: Final answer
    x = 6,315.74

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Why These Related Problems?

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