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Finding the Fourth Proportional to 10,925.82, 16,389.80 and 4,350.47

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Solution

The fourth proportional to 10,925.82, 16,389.80 and 4,350.47 is: 6,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.82 : 16,389.80 = 4,350.47 : x
  2. Step 2: Convert to fraction form
    10,925.82/16,389.80 = 4,350.47/x
  3. Step 3: Cross multiply
    10,925.82x = 16,389.80 × 4,350.47
  4. Step 4: Simplify right side
    10,925.82x = 71,303,229.50
  5. Step 5: Solve for x
    x = 71,303,229.50/10,925.82
  6. Step 6: Final answer
    x = 6,526.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.