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Finding the Fourth Proportional to 7,202, 10,803.68 and 2,007.92

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Solution

The fourth proportional to 7,202, 10,803.68 and 2,007.92 is: 3,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202 : 10,803.68 = 2,007.92 : x
  2. Step 2: Convert to fraction form
    7,202/10,803.68 = 2,007.92/x
  3. Step 3: Cross multiply
    7,202x = 10,803.68 × 2,007.92
  4. Step 4: Simplify right side
    7,202x = 21,692,925.15
  5. Step 5: Solve for x
    x = 21,692,925.15/7,202
  6. Step 6: Final answer
    x = 3,012.07

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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.