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Finding the Fourth Proportional to 11,894.93, 16,405.53 and 7,646.43

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Solution

The fourth proportional to 11,894.93, 16,405.53 and 7,646.43 is: 10,545.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.93 : 16,405.53 = 7,646.43 : x
  2. Step 2: Convert to fraction form
    11,894.93/16,405.53 = 7,646.43/x
  3. Step 3: Cross multiply
    11,894.93x = 16,405.53 × 7,646.43
  4. Step 4: Simplify right side
    11,894.93x = 125,443,736.76
  5. Step 5: Solve for x
    x = 125,443,736.76/11,894.93
  6. Step 6: Final answer
    x = 10,545.98

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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.