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Finding the Fourth Proportional to 10,751.81, 16,125.87 and 2,854.40

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Solution

The fourth proportional to 10,751.81, 16,125.87 and 2,854.40 is: 4,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.81 : 16,125.87 = 2,854.40 : x
  2. Step 2: Convert to fraction form
    10,751.81/16,125.87 = 2,854.40/x
  3. Step 3: Cross multiply
    10,751.81x = 16,125.87 × 2,854.40
  4. Step 4: Simplify right side
    10,751.81x = 46,029,683.33
  5. Step 5: Solve for x
    x = 46,029,683.33/10,751.81
  6. Step 6: Final answer
    x = 4,281.11

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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.