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Finding the Fourth Proportional to 10,494, 15,743.43 and 7,567.07

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Solution

The fourth proportional to 10,494, 15,743.43 and 7,567.07 is: 11,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 15,743.43 = 7,567.07 : x
  2. Step 2: Convert to fraction form
    10,494/15,743.43 = 7,567.07/x
  3. Step 3: Cross multiply
    10,494x = 15,743.43 × 7,567.07
  4. Step 4: Simplify right side
    10,494x = 119,131,558.13
  5. Step 5: Solve for x
    x = 119,131,558.13/10,494
  6. Step 6: Final answer
    x = 11,352.35

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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.