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Finding the Fourth Proportional to 11,904.21, 16,420.19 and 7,653.83

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Solution

The fourth proportional to 11,904.21, 16,420.19 and 7,653.83 is: 10,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.21 : 16,420.19 = 7,653.83 : x
  2. Step 2: Convert to fraction form
    11,904.21/16,420.19 = 7,653.83/x
  3. Step 3: Cross multiply
    11,904.21x = 16,420.19 × 7,653.83
  4. Step 4: Simplify right side
    11,904.21x = 125,677,222.46
  5. Step 5: Solve for x
    x = 125,677,222.46/11,904.21
  6. Step 6: Final answer
    x = 10,557.38

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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.