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Finding the Fourth Proportional to 10,904.68, 16,431.22 and 8,973.62

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Solution

The fourth proportional to 10,904.68, 16,431.22 and 8,973.62 is: 13,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.68 : 16,431.22 = 8,973.62 : x
  2. Step 2: Convert to fraction form
    10,904.68/16,431.22 = 8,973.62/x
  3. Step 3: Cross multiply
    10,904.68x = 16,431.22 × 8,973.62
  4. Step 4: Simplify right side
    10,904.68x = 147,447,479.55
  5. Step 5: Solve for x
    x = 147,447,479.55/10,904.68
  6. Step 6: Final answer
    x = 13,521.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.