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Finding the Fourth Proportional to 7,783.74, 11,677.38 and 3,402.45

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Solution

The fourth proportional to 7,783.74, 11,677.38 and 3,402.45 is: 5,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.74 : 11,677.38 = 3,402.45 : x
  2. Step 2: Convert to fraction form
    7,783.74/11,677.38 = 3,402.45/x
  3. Step 3: Cross multiply
    7,783.74x = 11,677.38 × 3,402.45
  4. Step 4: Simplify right side
    7,783.74x = 39,731,701.58
  5. Step 5: Solve for x
    x = 39,731,701.58/7,783.74
  6. Step 6: Final answer
    x = 5,104.45

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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.