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Finding the Fourth Proportional to 6,713.80, 10,066.76 and 2,032.40

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Solution

The fourth proportional to 6,713.80, 10,066.76 and 2,032.40 is: 3,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.80 : 10,066.76 = 2,032.40 : x
  2. Step 2: Convert to fraction form
    6,713.80/10,066.76 = 2,032.40/x
  3. Step 3: Cross multiply
    6,713.80x = 10,066.76 × 2,032.40
  4. Step 4: Simplify right side
    6,713.80x = 20,459,683.02
  5. Step 5: Solve for x
    x = 20,459,683.02/6,713.80
  6. Step 6: Final answer
    x = 3,047.41

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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.