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Finding the Fourth Proportional to 7,713.69, 10,644.88 and 4,356.35

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Solution

The fourth proportional to 7,713.69, 10,644.88 and 4,356.35 is: 6,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.69 : 10,644.88 = 4,356.35 : x
  2. Step 2: Convert to fraction form
    7,713.69/10,644.88 = 4,356.35/x
  3. Step 3: Cross multiply
    7,713.69x = 10,644.88 × 4,356.35
  4. Step 4: Simplify right side
    7,713.69x = 46,372,747.98
  5. Step 5: Solve for x
    x = 46,372,747.98/7,713.69
  6. Step 6: Final answer
    x = 6,011.75

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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.