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Finding the Fourth Proportional to 7,713.69, 10,646.90 and 4,527.42

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Solution

The fourth proportional to 7,713.69, 10,646.90 and 4,527.42 is: 6,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.69 : 10,646.90 = 4,527.42 : x
  2. Step 2: Convert to fraction form
    7,713.69/10,646.90 = 4,527.42/x
  3. Step 3: Cross multiply
    7,713.69x = 10,646.90 × 4,527.42
  4. Step 4: Simplify right side
    7,713.69x = 48,202,988.00
  5. Step 5: Solve for x
    x = 48,202,988.00/7,713.69
  6. Step 6: Final answer
    x = 6,249.02

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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.