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Finding the Fourth Proportional to 7,206.74, 10,808.02 and 3,047.68

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Solution

The fourth proportional to 7,206.74, 10,808.02 and 3,047.68 is: 4,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.74 : 10,808.02 = 3,047.68 : x
  2. Step 2: Convert to fraction form
    7,206.74/10,808.02 = 3,047.68/x
  3. Step 3: Cross multiply
    7,206.74x = 10,808.02 × 3,047.68
  4. Step 4: Simplify right side
    7,206.74x = 32,939,386.39
  5. Step 5: Solve for x
    x = 32,939,386.39/7,206.74
  6. Step 6: Final answer
    x = 4,570.64

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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.