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Finding the Fourth Proportional to 11,484.50, 17,210.70 and 6,208.13

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Solution

The fourth proportional to 11,484.50, 17,210.70 and 6,208.13 is: 9,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.50 : 17,210.70 = 6,208.13 : x
  2. Step 2: Convert to fraction form
    11,484.50/17,210.70 = 6,208.13/x
  3. Step 3: Cross multiply
    11,484.50x = 17,210.70 × 6,208.13
  4. Step 4: Simplify right side
    11,484.50x = 106,846,176.94
  5. Step 5: Solve for x
    x = 106,846,176.94/11,484.50
  6. Step 6: Final answer
    x = 9,303.52

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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.