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Finding the Fourth Proportional to 10,804.74, 14,909.92 and 6,024.54

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Solution

The fourth proportional to 10,804.74, 14,909.92 and 6,024.54 is: 8,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.74 : 14,909.92 = 6,024.54 : x
  2. Step 2: Convert to fraction form
    10,804.74/14,909.92 = 6,024.54/x
  3. Step 3: Cross multiply
    10,804.74x = 14,909.92 × 6,024.54
  4. Step 4: Simplify right side
    10,804.74x = 89,825,409.44
  5. Step 5: Solve for x
    x = 89,825,409.44/10,804.74
  6. Step 6: Final answer
    x = 8,313.52

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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.