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Finding the Fourth Proportional to 7,730.51, 10,668.13 and 4,193.75

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Solution

The fourth proportional to 7,730.51, 10,668.13 and 4,193.75 is: 5,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.51 : 10,668.13 = 4,193.75 : x
  2. Step 2: Convert to fraction form
    7,730.51/10,668.13 = 4,193.75/x
  3. Step 3: Cross multiply
    7,730.51x = 10,668.13 × 4,193.75
  4. Step 4: Simplify right side
    7,730.51x = 44,739,429.95
  5. Step 5: Solve for x
    x = 44,739,429.95/7,730.51
  6. Step 6: Final answer
    x = 5,787.38

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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.