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Finding the Fourth Proportional to 10,597.69, 14,621.61 and 6,119.80

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Solution

The fourth proportional to 10,597.69, 14,621.61 and 6,119.80 is: 8,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.69 : 14,621.61 = 6,119.80 : x
  2. Step 2: Convert to fraction form
    10,597.69/14,621.61 = 6,119.80/x
  3. Step 3: Cross multiply
    10,597.69x = 14,621.61 × 6,119.80
  4. Step 4: Simplify right side
    10,597.69x = 89,481,397.52
  5. Step 5: Solve for x
    x = 89,481,397.52/10,597.69
  6. Step 6: Final answer
    x = 8,443.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.