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Finding the Fourth Proportional to 7,707.98, 10,636.95 and 4,171.12

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Solution

The fourth proportional to 7,707.98, 10,636.95 and 4,171.12 is: 5,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.98 : 10,636.95 = 4,171.12 : x
  2. Step 2: Convert to fraction form
    7,707.98/10,636.95 = 4,171.12/x
  3. Step 3: Cross multiply
    7,707.98x = 10,636.95 × 4,171.12
  4. Step 4: Simplify right side
    7,707.98x = 44,367,994.88
  5. Step 5: Solve for x
    x = 44,367,994.88/7,707.98
  6. Step 6: Final answer
    x = 5,756.11

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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.