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Finding the Fourth Proportional to 11,955.06, 16,510.23 and 8,966.16

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Solution

The fourth proportional to 11,955.06, 16,510.23 and 8,966.16 is: 12,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.06 : 16,510.23 = 8,966.16 : x
  2. Step 2: Convert to fraction form
    11,955.06/16,510.23 = 8,966.16/x
  3. Step 3: Cross multiply
    11,955.06x = 16,510.23 × 8,966.16
  4. Step 4: Simplify right side
    11,955.06x = 148,033,363.82
  5. Step 5: Solve for x
    x = 148,033,363.82/11,955.06
  6. Step 6: Final answer
    x = 12,382.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.