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Finding the Fourth Proportional to 7,712.85, 11,560.99 and 3,332.37

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Solution

The fourth proportional to 7,712.85, 11,560.99 and 3,332.37 is: 4,994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.85 : 11,560.99 = 3,332.37 : x
  2. Step 2: Convert to fraction form
    7,712.85/11,560.99 = 3,332.37/x
  3. Step 3: Cross multiply
    7,712.85x = 11,560.99 × 3,332.37
  4. Step 4: Simplify right side
    7,712.85x = 38,525,496.25
  5. Step 5: Solve for x
    x = 38,525,496.25/7,712.85
  6. Step 6: Final answer
    x = 4,994.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.