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Finding the Fourth Proportional to 11,539.50, 15,923.43 and 6,502.89

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Solution

The fourth proportional to 11,539.50, 15,923.43 and 6,502.89 is: 8,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.50 : 15,923.43 = 6,502.89 : x
  2. Step 2: Convert to fraction form
    11,539.50/15,923.43 = 6,502.89/x
  3. Step 3: Cross multiply
    11,539.50x = 15,923.43 × 6,502.89
  4. Step 4: Simplify right side
    11,539.50x = 103,548,313.71
  5. Step 5: Solve for x
    x = 103,548,313.71/11,539.50
  6. Step 6: Final answer
    x = 8,973.38

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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.