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Finding the Fourth Proportional to 10,999.42, 16,501.32 and 4,074.46

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Solution

The fourth proportional to 10,999.42, 16,501.32 and 4,074.46 is: 6,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.42 : 16,501.32 = 4,074.46 : x
  2. Step 2: Convert to fraction form
    10,999.42/16,501.32 = 4,074.46/x
  3. Step 3: Cross multiply
    10,999.42x = 16,501.32 × 4,074.46
  4. Step 4: Simplify right side
    10,999.42x = 67,233,968.29
  5. Step 5: Solve for x
    x = 67,233,968.29/10,999.42
  6. Step 6: Final answer
    x = 6,112.50

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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.