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Finding the Fourth Proportional to 7,206.40, 10,783.86 and 4,433.68

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Solution

The fourth proportional to 7,206.40, 10,783.86 and 4,433.68 is: 6,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.40 : 10,783.86 = 4,433.68 : x
  2. Step 2: Convert to fraction form
    7,206.40/10,783.86 = 4,433.68/x
  3. Step 3: Cross multiply
    7,206.40x = 10,783.86 × 4,433.68
  4. Step 4: Simplify right side
    7,206.40x = 47,812,184.40
  5. Step 5: Solve for x
    x = 47,812,184.40/7,206.40
  6. Step 6: Final answer
    x = 6,634.68

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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.