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Finding the Fourth Proportional to 7,783.66, 10,741.35 and 4,246.80

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Solution

The fourth proportional to 7,783.66, 10,741.35 and 4,246.80 is: 5,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.66 : 10,741.35 = 4,246.80 : x
  2. Step 2: Convert to fraction form
    7,783.66/10,741.35 = 4,246.80/x
  3. Step 3: Cross multiply
    7,783.66x = 10,741.35 × 4,246.80
  4. Step 4: Simplify right side
    7,783.66x = 45,616,365.18
  5. Step 5: Solve for x
    x = 45,616,365.18/7,783.66
  6. Step 6: Final answer
    x = 5,860.53

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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.