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Finding the Fourth Proportional to 10,751.01, 16,124.69 and 2,958

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Solution

The fourth proportional to 10,751.01, 16,124.69 and 2,958 is: 4,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.01 : 16,124.69 = 2,958 : x
  2. Step 2: Convert to fraction form
    10,751.01/16,124.69 = 2,958/x
  3. Step 3: Cross multiply
    10,751.01x = 16,124.69 × 2,958
  4. Step 4: Simplify right side
    10,751.01x = 47,696,818.23
  5. Step 5: Solve for x
    x = 47,696,818.23/10,751.01
  6. Step 6: Final answer
    x = 4,436.50

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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.