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Finding the Fourth Proportional to 10,332.66, 14,259.23 and 5,616.96

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Solution

The fourth proportional to 10,332.66, 14,259.23 and 5,616.96 is: 7,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.66 : 14,259.23 = 5,616.96 : x
  2. Step 2: Convert to fraction form
    10,332.66/14,259.23 = 5,616.96/x
  3. Step 3: Cross multiply
    10,332.66x = 14,259.23 × 5,616.96
  4. Step 4: Simplify right side
    10,332.66x = 80,093,524.54
  5. Step 5: Solve for x
    x = 80,093,524.54/10,332.66
  6. Step 6: Final answer
    x = 7,751.49

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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.