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Finding the Fourth Proportional to 7,066.68, 10,602.18 and 4,138.80

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Solution

The fourth proportional to 7,066.68, 10,602.18 and 4,138.80 is: 6,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.68 : 10,602.18 = 4,138.80 : x
  2. Step 2: Convert to fraction form
    7,066.68/10,602.18 = 4,138.80/x
  3. Step 3: Cross multiply
    7,066.68x = 10,602.18 × 4,138.80
  4. Step 4: Simplify right side
    7,066.68x = 43,880,302.58
  5. Step 5: Solve for x
    x = 43,880,302.58/7,066.68
  6. Step 6: Final answer
    x = 6,209.47

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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.