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Finding the Fourth Proportional to 7,783.70, 11,666.84 and 4,086.32

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Solution

The fourth proportional to 7,783.70, 11,666.84 and 4,086.32 is: 6,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.70 : 11,666.84 = 4,086.32 : x
  2. Step 2: Convert to fraction form
    7,783.70/11,666.84 = 4,086.32/x
  3. Step 3: Cross multiply
    7,783.70x = 11,666.84 × 4,086.32
  4. Step 4: Simplify right side
    7,783.70x = 47,674,362.86
  5. Step 5: Solve for x
    x = 47,674,362.86/7,783.70
  6. Step 6: Final answer
    x = 6,124.90

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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.