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Finding the Fourth Proportional to 7,707.10, 10,636.74 and 4,723.36

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Solution

The fourth proportional to 7,707.10, 10,636.74 and 4,723.36 is: 6,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.10 : 10,636.74 = 4,723.36 : x
  2. Step 2: Convert to fraction form
    7,707.10/10,636.74 = 4,723.36/x
  3. Step 3: Cross multiply
    7,707.10x = 10,636.74 × 4,723.36
  4. Step 4: Simplify right side
    7,707.10x = 50,241,152.25
  5. Step 5: Solve for x
    x = 50,241,152.25/7,707.10
  6. Step 6: Final answer
    x = 6,518.81

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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.