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Finding the Fourth Proportional to 7,136.40, 10,708.08 and 4,019.76

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Solution

The fourth proportional to 7,136.40, 10,708.08 and 4,019.76 is: 6,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.40 : 10,708.08 = 4,019.76 : x
  2. Step 2: Convert to fraction form
    7,136.40/10,708.08 = 4,019.76/x
  3. Step 3: Cross multiply
    7,136.40x = 10,708.08 × 4,019.76
  4. Step 4: Simplify right side
    7,136.40x = 43,043,911.66
  5. Step 5: Solve for x
    x = 43,043,911.66/7,136.40
  6. Step 6: Final answer
    x = 6,031.60

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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.