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Finding the Fourth Proportional to 7,707.12, 10,636.00 and 4,349.74

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Solution

The fourth proportional to 7,707.12, 10,636.00 and 4,349.74 is: 6,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.12 : 10,636.00 = 4,349.74 : x
  2. Step 2: Convert to fraction form
    7,707.12/10,636.00 = 4,349.74/x
  3. Step 3: Cross multiply
    7,707.12x = 10,636.00 × 4,349.74
  4. Step 4: Simplify right side
    7,707.12x = 46,263,796.04
  5. Step 5: Solve for x
    x = 46,263,796.04/7,707.12
  6. Step 6: Final answer
    x = 6,002.73

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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.