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Finding the Fourth Proportional to 11,966.68, 16,521.40 and 7,719.27

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Solution

The fourth proportional to 11,966.68, 16,521.40 and 7,719.27 is: 10,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.68 : 16,521.40 = 7,719.27 : x
  2. Step 2: Convert to fraction form
    11,966.68/16,521.40 = 7,719.27/x
  3. Step 3: Cross multiply
    11,966.68x = 16,521.40 × 7,719.27
  4. Step 4: Simplify right side
    11,966.68x = 127,533,147.38
  5. Step 5: Solve for x
    x = 127,533,147.38/11,966.68
  6. Step 6: Final answer
    x = 10,657.35

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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.