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Finding the Fourth Proportional to 10,666.50, 15,992.90 and 4,430.82

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Solution

The fourth proportional to 10,666.50, 15,992.90 and 4,430.82 is: 6,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.50 : 15,992.90 = 4,430.82 : x
  2. Step 2: Convert to fraction form
    10,666.50/15,992.90 = 4,430.82/x
  3. Step 3: Cross multiply
    10,666.50x = 15,992.90 × 4,430.82
  4. Step 4: Simplify right side
    10,666.50x = 70,861,661.18
  5. Step 5: Solve for x
    x = 70,861,661.18/10,666.50
  6. Step 6: Final answer
    x = 6,643.38

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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.