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Finding the Fourth Proportional to 7,567.29, 10,442.52 and 4,209.84

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Solution

The fourth proportional to 7,567.29, 10,442.52 and 4,209.84 is: 5,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.29 : 10,442.52 = 4,209.84 : x
  2. Step 2: Convert to fraction form
    7,567.29/10,442.52 = 4,209.84/x
  3. Step 3: Cross multiply
    7,567.29x = 10,442.52 × 4,209.84
  4. Step 4: Simplify right side
    7,567.29x = 43,961,338.40
  5. Step 5: Solve for x
    x = 43,961,338.40/7,567.29
  6. Step 6: Final answer
    x = 5,809.39

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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.