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Finding the Fourth Proportional to 7,707.86, 10,637.40 and 4,350.96

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Solution

The fourth proportional to 7,707.86, 10,637.40 and 4,350.96 is: 6,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.86 : 10,637.40 = 4,350.96 : x
  2. Step 2: Convert to fraction form
    7,707.86/10,637.40 = 4,350.96/x
  3. Step 3: Cross multiply
    7,707.86x = 10,637.40 × 4,350.96
  4. Step 4: Simplify right side
    7,707.86x = 46,282,826.96
  5. Step 5: Solve for x
    x = 46,282,826.96/7,707.86
  6. Step 6: Final answer
    x = 6,004.63

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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.