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Finding the Fourth Proportional to 7,729.69, 10,666.91 and 4,326.70

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Solution

The fourth proportional to 7,729.69, 10,666.91 and 4,326.70 is: 5,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.69 : 10,666.91 = 4,326.70 : x
  2. Step 2: Convert to fraction form
    7,729.69/10,666.91 = 4,326.70/x
  3. Step 3: Cross multiply
    7,729.69x = 10,666.91 × 4,326.70
  4. Step 4: Simplify right side
    7,729.69x = 46,152,519.50
  5. Step 5: Solve for x
    x = 46,152,519.50/7,729.69
  6. Step 6: Final answer
    x = 5,970.81

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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.