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Finding the Fourth Proportional to 7,707.36, 10,635.93 and 4,350.14

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Solution

The fourth proportional to 7,707.36, 10,635.93 and 4,350.14 is: 6,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.36 : 10,635.93 = 4,350.14 : x
  2. Step 2: Convert to fraction form
    7,707.36/10,635.93 = 4,350.14/x
  3. Step 3: Cross multiply
    7,707.36x = 10,635.93 × 4,350.14
  4. Step 4: Simplify right side
    7,707.36x = 46,267,731.35
  5. Step 5: Solve for x
    x = 46,267,731.35/7,707.36
  6. Step 6: Final answer
    x = 6,003.06

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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.